456553525296 has 160 divisors (see below), whose sum is σ = 1318772736000. Its totient is φ = 134932573440.

The previous prime is 456553525273. The next prime is 456553525301. The reversal of 456553525296 is 692525355654.

It is a super-2 number, since 2×456553525296² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3898605 + ... + 4014003.

It is an arithmetic number, because the mean of its divisors is an integer number (8242329600).

Almost surely, 2^456553525296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456553525296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659386368000).

456553525296 is an abundant number, since it is smaller than the sum of its proper divisors (862219210704).

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

456553525296 is a wasteful number, since it uses less digits than its factorization.

456553525296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115607 (or 115601 counting only the distinct ones).

The product of its digits is 48600000, while the sum is 57.

The spelling of 456553525296 in words is "four hundred fifty-six billion, five hundred fifty-three million, five hundred twenty-five thousand, two hundred ninety-six".