93273912096964 has 81 divisors (see below), whose sum is σ = 168307786368813. Its totient is φ = 45229296603456.

The previous prime is 93273912096943. The next prime is 93273912096973. The reversal of 93273912096964 is 46969021937239.

The square root of 93273912096964 is 9657842.

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., 82100669927364 + 11173242169600 = 9060942^2 + 3342640^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 93273912096893 and 93273912096902.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 115295317392 + ... + 115295318200.

Almost surely, 2^{93273912096964} is an apocalyptic number.

93273912096964 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

93273912096964 is the 9657842-nd square number.

It is an amenable number.

93273912096964 is a deficient number, since it is larger than the sum of its proper divisors (75033874271849).

93273912096964 is an frugal number, since it uses more digits than its factorization.

93273912096964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 70.

The spelling of 93273912096964 in words is "ninety-three trillion, two hundred seventy-three billion, nine hundred twelve million, ninety-six thousand, nine hundred sixty-four".