90343808364096 has 315 divisors, whose sum is σ = 311547518975979. Its totient is φ = 25811147964672.

The previous prime is 90343808364083. The next prime is 90343808364149. The reversal of 90343808364096 is 69046380834309.

The square root of 90343808364096 is 9504936.

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

90343808364096 is a `hidden beast` number, since 9 + 0 + 34 + 380 + 83 + 64 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4790478315 + ... + 4790497173.

Almost surely, 2^{90343808364096} is an apocalyptic number.

90343808364096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

90343808364096 is the 9504936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90343808364096

90343808364096 is an abundant number, since it is smaller than the sum of its proper divisors (221203710611883).

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

90343808364096 is an frugal number, since it uses more digits than its factorization.

90343808364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37756 (or 18871 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 90343808364096 in words is "ninety trillion, three hundred forty-three billion, eight hundred eight million, three hundred sixty-four thousand, ninety-six".