456453205152 has 96 divisors (see below), whose sum is σ = 1369464711552. Its totient is φ = 130405192704.

The previous prime is 456453205151. The next prime is 456453205189. The reversal of 456453205152 is 251502354654.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (456453205151) 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, 17252478 + ... + 17278914.

It is an arithmetic number, because the mean of its divisors is an integer number (14265257412).

Almost surely, 2^456453205152 is an apocalyptic number.

456453205152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

456453205152 is an abundant number, since it is smaller than the sum of its proper divisors (913011506400).

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

456453205152 is a wasteful number, since it uses less digits than its factorization.

456453205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52150 (or 52142 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 456453205152 in words is "four hundred fifty-six billion, four hundred fifty-three million, two hundred five thousand, one hundred fifty-two".