11457713391264 has 720 divisors, whose sum is σ = 40910340378600. Its totient is φ = 3132663496704.

The previous prime is 11457713391263. The next prime is 11457713391307. The reversal of 11457713391264 is 46219331775411.

11457713391264 is a `hidden beast` number, since 1 + 1 + 4 + 577 + 1 + 3 + 3 + 9 + 1 + 2 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5756602101264 + 5701111290000 = 2399292^2 + 2387700^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11457713391264.

It is not an unprimeable number, because it can be changed into a prime (11457713391263) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 416191452 + ... + 416218980.

Almost surely, 2^{11457713391264} is an apocalyptic number.

11457713391264 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 11457713391264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20455170189300).

11457713391264 is an abundant number, since it is smaller than the sum of its proper divisors (29452626987336).

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

11457713391264 is a wasteful number, since it uses less digits than its factorization.

11457713391264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27707 (or 27683 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 11457713391264 in words is "eleven trillion, four hundred fifty-seven billion, seven hundred thirteen million, three hundred ninety-one thousand, two hundred sixty-four".