456052132562100 has 36 divisors (see below), whose sum is σ = 1319510836880544. Its totient is φ = 121613902016480.

The previous prime is 456052132562099. The next prime is 456052132562101. The reversal of 456052132562100 is 1265231250654.

It is an interprime number because it is at equal distance from previous prime (456052132562099) and next prime (456052132562101).

It is a super-2 number, since 2×456052132562100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456052132562101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760086887304 + ... + 760086887903.

Almost surely, 2^{456052132562100} is an apocalyptic number.

It is an amenable number.

456052132562100 is an abundant number, since it is smaller than the sum of its proper divisors (863458704318444).

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

456052132562100 is a wasteful number, since it uses less digits than its factorization.

456052132562100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520173775224 (or 1520173775217 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 456052132562100 in words is "four hundred fifty-six trillion, fifty-two billion, one hundred thirty-two million, five hundred sixty-two thousand, one hundred".