456100827534 has 48 divisors (see below), whose sum is σ = 1117984533120. Its totient is φ = 138212370360.

The previous prime is 456100827439. The next prime is 456100827571. The reversal of 456100827534 is 435728001654.

456100827534 is a `hidden beast` number, since 4 + 5 + 6 + 100 + 8 + 2 + 7 + 534 = 666.

It is a super-2 number, since 2×456100827534² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456100827534.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 42652794 + ... + 42663485.

It is an arithmetic number, because the mean of its divisors is an integer number (23291344440).

Almost surely, 2^456100827534 is an apocalyptic number.

456100827534 is an abundant number, since it is smaller than the sum of its proper divisors (661883705586).

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

456100827534 is a wasteful number, since it uses less digits than its factorization.

456100827534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85316307 (or 85316295 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 456100827534 in words is "four hundred fifty-six billion, one hundred million, eight hundred twenty-seven thousand, five hundred thirty-four".