716262148656 has 400 divisors, whose sum is σ = 2317671480960. Its totient is φ = 212226324480.

The previous prime is 716262148607. The next prime is 716262148663. The reversal of 716262148656 is 656841262617.

716262148656 is a `hidden beast` number, since 7 + 1 + 6 + 2 + 621 + 4 + 8 + 6 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 145254511 + ... + 145259441.

Almost surely, 2^716262148656 is an apocalyptic number.

716262148656 is a gapful number since it is divisible by the number (76) 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 716262148656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158835740480).

716262148656 is an abundant number, since it is smaller than the sum of its proper divisors (1601409332304).

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

716262148656 is a wasteful number, since it uses less digits than its factorization.

716262148656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5319 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 716262148656 in words is "seven hundred sixteen billion, two hundred sixty-two million, one hundred forty-eight thousand, six hundred fifty-six".