456140355580 has 96 divisors (see below), whose sum is σ = 1181529288576. Its totient is φ = 144044752896.

The previous prime is 456140355577. The next prime is 456140355613. The reversal of 456140355580 is 85553041654.

It is a super-3 number, since 3×456140355580³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456140355580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557532 + ... + 1105948.

It is an arithmetic number, because the mean of its divisors is an integer number (12307596756).

Almost surely, 2^456140355580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456140355580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590764644288).

456140355580 is an abundant number, since it is smaller than the sum of its proper divisors (725388932996).

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

456140355580 is a wasteful number, since it uses less digits than its factorization.

456140355580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548903 (or 548901 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 46.

The spelling of 456140355580 in words is "four hundred fifty-six billion, one hundred forty million, three hundred fifty-five thousand, five hundred eighty".