456801156318 has 192 divisors, whose sum is σ = 1115069068800. Its totient is φ = 123907829760.

The previous prime is 456801156311. The next prime is 456801156341. The reversal of 456801156318 is 813651108654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456801156311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29141623 + ... + 29157293.

It is an arithmetic number, because the mean of its divisors is an integer number (5807651400).

Almost surely, 2^456801156318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456801156318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557534534400).

456801156318 is an abundant number, since it is smaller than the sum of its proper divisors (658267912482).

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

456801156318 is a wasteful number, since it uses less digits than its factorization.

456801156318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15827 (or 15814 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 456801156318 in words is "four hundred fifty-six billion, eight hundred one million, one hundred fifty-six thousand, three hundred eighteen".