1364229216000 has 1728 divisors, whose sum is σ = 5916605700096. Its totient is φ = 306561024000.

The previous prime is 1364229215983. The next prime is 1364229216001. The reversal of 1364229216000 is 6129224631.

It is a happy number.

1364229216000 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 2 + 29 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×1364229216000² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364229216001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3864671824 + ... + 3864672176.

It is an arithmetic number, because the mean of its divisors is an integer number (3423961632).

Almost surely, 2^{1364229216000} is an apocalyptic number.

1364229216000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364229216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958302850048).

1364229216000 is an abundant number, since it is smaller than the sum of its proper divisors (4552376484096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1364229216000 is an frugal number, since it uses more digits than its factorization.

1364229216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1364229216000 in words is "one trillion, three hundred sixty-four billion, two hundred twenty-nine million, two hundred sixteen thousand".