31678706451456 has 165 divisors, whose sum is σ = 94603651616991. Its totient is φ = 10559028492288.

The previous prime is 31678706451443. The next prime is 31678706451473. The reversal of 31678706451456 is 65415460787613.

The square root of 31678706451456 is 5628384.

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

31678706451456 is a `hidden beast` number, since 3 + 1 + 6 + 7 + 8 + 7 + 0 + 64 + 514 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31678706451393 and 31678706451402.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1620964821 + ... + 1620984363.

Almost surely, 2^{31678706451456} is an apocalyptic number.

31678706451456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31678706451456 is the 5628384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31678706451456

31678706451456 is an abundant number, since it is smaller than the sum of its proper divisors (62924945165535).

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

31678706451456 is an frugal number, since it uses more digits than its factorization.

31678706451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39118 (or 19548 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 31678706451456 in words is "thirty-one trillion, six hundred seventy-eight billion, seven hundred six million, four hundred fifty-one thousand, four hundred fifty-six".