456139871264 has 96 divisors (see below), whose sum is σ = 1120225147776. Its totient is φ = 177620152320.

The previous prime is 456139871237. The next prime is 456139871267. The reversal of 456139871264 is 462178931654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (456139871267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4565654 + ... + 4664490.

It is an arithmetic number, because the mean of its divisors is an integer number (11669011956).

Almost surely, 2^456139871264 is an apocalyptic number.

456139871264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456139871264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560112573888).

456139871264 is an abundant number, since it is smaller than the sum of its proper divisors (664085276512).

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

456139871264 is a wasteful number, since it uses less digits than its factorization.

456139871264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100738 (or 100730 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 56.

The spelling of 456139871264 in words is "four hundred fifty-six billion, one hundred thirty-nine million, eight hundred seventy-one thousand, two hundred sixty-four".