1364253220000 has 360 divisors, whose sum is σ = 3701887882308. Its totient is φ = 494376960000.

The previous prime is 1364253219991. The next prime is 1364253220009. The reversal of 1364253220000 is 223524631.

It is an interprime number because it is at equal distance from previous prime (1364253219991) and next prime (1364253220009).

It can be written as a sum of positive squares in 10 ways, for example, as 303905228176 + 1060347991824 = 551276^2 + 1029732^2 .

It is a super-2 number, since 2×1364253220000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364253220009) 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 59 ways as a sum of consecutive naturals, for example, 854259202 + ... + 854260798.

Almost surely, 2^{1364253220000} is an apocalyptic number.

1364253220000 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 1364253220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850943941154).

1364253220000 is an abundant number, since it is smaller than the sum of its proper divisors (2337634662308).

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

1364253220000 is a wasteful number, since it uses less digits than its factorization.

1364253220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 1364253220000 its reverse (223524631), we get a palindrome (1364476744631).

The spelling of 1364253220000 in words is "one trillion, three hundred sixty-four billion, two hundred fifty-three million, two hundred twenty thousand".