786318468516 has 243 divisors, whose sum is σ = 2372003112843. Its totient is φ = 218990792160.

The previous prime is 786318468449. The next prime is 786318468563. The reversal of 786318468516 is 615864813687.

The square root of 786318468516 is 886746.

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

786318468516 is a `hidden beast` number, since 7 + 8 + 6 + 31 + 84 + 6 + 8 + 516 = 666.

786318468516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1601463031 + ... + 1601463521.

Almost surely, 2^786318468516 is an apocalyptic number.

786318468516 is the 886746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 786318468516

786318468516 is an abundant number, since it is smaller than the sum of its proper divisors (1585684644327).

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

786318468516 is a wasteful number, since it uses less digits than its factorization.

786318468516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 546 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 786318468516 in words is "seven hundred eighty-six billion, three hundred eighteen million, four hundred sixty-eight thousand, five hundred sixteen".