11456052192 has 72 divisors (see below), whose sum is σ = 35084171304. Its totient is φ = 3524937984.

The previous prime is 11456052173. The next prime is 11456052193. The reversal of 11456052192 is 29125065411.

11456052192 is a `hidden beast` number, since 1 + 1 + 4 + 560 + 5 + 2 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11456052192² (a number of 21 digits) contains 22 as substring.

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 (11456052193) 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 11 ways as a sum of consecutive naturals, for example, 1526178 + ... + 1533665.

It is an arithmetic number, because the mean of its divisors is an integer number (487280157).

Almost surely, 2^11456052192 is an apocalyptic number.

11456052192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11456052192 is an abundant number, since it is smaller than the sum of its proper divisors (23628119112).

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

11456052192 is a wasteful number, since it uses less digits than its factorization.

11456052192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059872 (or 3059861 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11456052192 in words is "eleven billion, four hundred fifty-six million, fifty-two thousand, one hundred ninety-two".