93577701667968 has 144 divisors (see below), whose sum is σ = 313243598167110. Its totient is φ = 26736486174720.

The previous prime is 93577701667943. The next prime is 93577701667973. The reversal of 93577701667968 is 86976610777539.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51675279856704 + 41902421811264 = 7188552^2 + 6473208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 828827673 + ... + 828940568.

Almost surely, 2^{93577701667968} is an apocalyptic number.

93577701667968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

93577701667968 is an abundant number, since it is smaller than the sum of its proper divisors (219665896499142).

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

93577701667968 is a wasteful number, since it uses less digits than its factorization.

93577701667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657768275 (or 1657768253 counting only the distinct ones).

The product of its (nonzero) digits is 5040947520, while the sum is 81.

The spelling of 93577701667968 in words is "ninety-three trillion, five hundred seventy-seven billion, seven hundred one million, six hundred sixty-seven thousand, nine hundred sixty-eight".