456115272511136 has 96 divisors (see below), whose sum is σ = 1105423830540288. Its totient is φ = 180947353086720.

The previous prime is 456115272511133. The next prime is 456115272511219. The reversal of 456115272511136 is 631115272511654.

It is a super-2 number, since 2×456115272511136² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456115272511133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1427770790 + ... + 1428090213.

It is an arithmetic number, because the mean of its divisors is an integer number (11514831568128).

Almost surely, 2^{456115272511136} is an apocalyptic number.

456115272511136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

456115272511136 is an abundant number, since it is smaller than the sum of its proper divisors (649308558029152).

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

456115272511136 is a wasteful number, since it uses less digits than its factorization.

456115272511136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2855861074 (or 2855861066 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 50.

The spelling of 456115272511136 in words is "four hundred fifty-six trillion, one hundred fifteen billion, two hundred seventy-two million, five hundred eleven thousand, one hundred thirty-six".