90456577600 has 189 divisors, whose sum is σ = 227882768643. Its totient is φ = 35340503040.

The previous prime is 90456577573. The next prime is 90456577613. The reversal of 90456577600 is 677565409.

The square root of 90456577600 is 300760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 494973504 + 89961604096 = 22248^2 + 299936^2 .

It is a super-2 number, since 2×90456577600² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 878219149 + ... + 878219251.

Almost surely, 2^90456577600 is an apocalyptic number.

90456577600 is the 300760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90456577600

90456577600 is an abundant number, since it is smaller than the sum of its proper divisors (137426191043).

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

90456577600 is an equidigital number, since it uses as much as digits as its factorization.

90456577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

Multiplying 90456577600 by its sum of digits (49), we get a square (4432372302400 = 2105320²).

The spelling of 90456577600 in words is "ninety billion, four hundred fifty-six million, five hundred seventy-seven thousand, six hundred".