11451795264 has 168 divisors, whose sum is σ = 40399573760. Its totient is φ = 3020239872.

The previous prime is 11451795253. The next prime is 11451795269. The reversal of 11451795264 is 46259715411.

11451795264 is a `hidden beast` number, since 1 + 1 + 4 + 51 + 79 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×11451795264² (a number of 21 digits) contains 22 as substring.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451795269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56824 + ... + 161655.

Almost surely, 2^11451795264 is an apocalyptic number.

11451795264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11451795264 is an abundant number, since it is smaller than the sum of its proper divisors (28947778496).

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

11451795264 is a wasteful number, since it uses less digits than its factorization.

11451795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218517 (or 218504 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 11451795264 in words is "eleven billion, four hundred fifty-one million, seven hundred ninety-five thousand, two hundred sixty-four".