966108136464 has 315 divisors, whose sum is σ = 2968147445583. Its totient is φ = 304449855552.

The previous prime is 966108136451. The next prime is 966108136471. The reversal of 966108136464 is 464631801669.

The square root of 966108136464 is 982908.

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

966108136464 is a `hidden beast` number, since 9 + 6 + 610 + 8 + 13 + 6 + 4 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 966108136464.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2016926977 + ... + 2016927455.

Almost surely, 2^966108136464 is an apocalyptic number.

966108136464 is the 982908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966108136464

966108136464 is an abundant number, since it is smaller than the sum of its proper divisors (2002039309119).

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

966108136464 is an frugal number, since it uses more digits than its factorization.

966108136464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 966108136464 in words is "nine hundred sixty-six billion, one hundred eight million, one hundred thirty-six thousand, four hundred sixty-four".