1364190380784 has 360 divisors, whose sum is σ = 4847606148528. Its totient is φ = 354137333760.

The previous prime is 1364190380783. The next prime is 1364190380809. The reversal of 1364190380784 is 4870830914631.

1364190380784 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 190 + 380 + 78 + 4 = 666.

It is a super-2 number, since 2×1364190380784² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1364190380784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364190380783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182937184 + ... + 182944640.

Almost surely, 2^{1364190380784} is an apocalyptic number.

1364190380784 is a gapful number since it is divisible by the number (14) 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 1364190380784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423803074264).

1364190380784 is an abundant number, since it is smaller than the sum of its proper divisors (3483415767744).

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

1364190380784 is a wasteful number, since it uses less digits than its factorization.

1364190380784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9853 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1364190380784 in words is "one trillion, three hundred sixty-four billion, one hundred ninety million, three hundred eighty thousand, seven hundred eighty-four".