93190993984 has 63 divisors (see below), whose sum is σ = 203324247021. Its totient is φ = 42347331840.

The previous prime is 93190993967. The next prime is 93190993991. The reversal of 93190993984 is 48939909139.

The square root of 93190993984 is 305272.

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., 2614072384 + 90576921600 = 51128^2 + 300960^2 .

It is a super-2 number, since 2×93190993984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26862202 + ... + 26865670.

Almost surely, 2^93190993984 is an apocalyptic number.

93190993984 is the 305272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93190993984

93190993984 is an abundant number, since it is smaller than the sum of its proper divisors (110133253037).

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

93190993984 is an frugal number, since it uses more digits than its factorization.

93190993984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6972 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 64.

Multiplying 93190993984 by its sum of digits (64), we get a square (5964223614976 = 2442176²).

93190993984 divided by its sum of digits (64) gives a square (1456109281 = 38159²).

The spelling of 93190993984 in words is "ninety-three billion, one hundred ninety million, nine hundred ninety-three thousand, nine hundred eighty-four".