456138001170 has 96 divisors (see below), whose sum is σ = 1226560218624. Its totient is φ = 117487584000.

The previous prime is 456138001103. The next prime is 456138001213. The reversal of 456138001170 is 71100831654.

456138001170 is a `hidden beast` number, since 4 + 561 + 3 + 80 + 0 + 1 + 17 + 0 = 666.

It is a super-2 number, since 2×456138001170² (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1302870 + ... + 1615470.

It is an arithmetic number, because the mean of its divisors is an integer number (12776668944).

Almost surely, 2^456138001170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456138001170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613280109312).

456138001170 is an abundant number, since it is smaller than the sum of its proper divisors (770422217454).

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

456138001170 is a wasteful number, since it uses less digits than its factorization.

456138001170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313168 (or 313165 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 456138001170 in words is "four hundred fifty-six billion, one hundred thirty-eight million, one thousand, one hundred seventy".