91929667296016 has 45 divisors (see below), whose sum is σ = 195778800437493. Its totient is φ = 41786020647360.

The previous prime is 91929667295957. The next prime is 91929667296041. The reversal of 91929667296016 is 61069276692919.

The square root of 91929667296016 is 9587996.

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

It can be written as a sum of positive squares in only one way, i.e., 7767391296016 + 84162276000000 = 2787004^2 + 9174000^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 91929667296016.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 421762870 + ... + 421980778.

Almost surely, 2^{91929667296016} is an apocalyptic number.

91929667296016 is the 9587996-th square number.

It is an amenable number.

91929667296016 is an abundant number, since it is smaller than the sum of its proper divisors (103849133141477).

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

91929667296016 is an frugal number, since it uses more digits than its factorization.

91929667296016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435848 (or 217922 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 73.

The spelling of 91929667296016 in words is "ninety-one trillion, nine hundred twenty-nine billion, six hundred sixty-seven million, two hundred ninety-six thousand, sixteen".