93552786496 has 189 divisors, whose sum is σ = 214784513661. Its totient is φ = 40403410944.

The previous prime is 93552786469. The next prime is 93552786499. The reversal of 93552786496 is 69468725539.

The square root of 93552786496 is 305864.

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

It can be written as a sum of positive squares in 13 ways, for example, as 14218177600 + 79334608896 = 119240^2 + 281664^2 .

It is a super-2 number, since 2×93552786496² (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 not an unprimeable number, because it can be changed into a prime (93552786499) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 540767466 + ... + 540767638.

Almost surely, 2^93552786496 is an apocalyptic number.

93552786496 is the 305864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93552786496

93552786496 is an abundant number, since it is smaller than the sum of its proper divisors (121231727165).

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

93552786496 is a wasteful number, since it uses less digits than its factorization.

93552786496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 205 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 64.

Multiplying 93552786496 by its sum of digits (64), we get a square (5987378335744 = 2446912²).

93552786496 divided by its sum of digits (64) gives a square (1461762289 = 38233²).

The spelling of 93552786496 in words is "ninety-three billion, five hundred fifty-two million, seven hundred eighty-six thousand, four hundred ninety-six".