456190392000996 has 81 divisors (see below), whose sum is σ = 1154987271473763. Its totient is φ = 151821300034800.

The previous prime is 456190392000953. The next prime is 456190392001031. The reversal of 456190392000996 is 699000293091654.

The square root of 456190392000996 is 21358614.

It is a perfect power (a square), and thus also a powerful number.

456190392000996 is a `hidden beast` number, since 4 + 5 + 619 + 0 + 3 + 9 + 2 + 0 + 0 + 0 + 9 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 92141058321 + ... + 92141063271.

Almost surely, 2^{456190392000996} is an apocalyptic number.

456190392000996 is the 21358614-th square number.

It is an amenable number.

456190392000996 is an abundant number, since it is smaller than the sum of its proper divisors (698796879472767).

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

456190392000996 is an frugal number, since it uses more digits than its factorization.

456190392000996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11350 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 456190392000996 in words is "four hundred fifty-six trillion, one hundred ninety billion, three hundred ninety-two million, nine hundred ninety-six", and thus it is an aban number.