90045605776 has 75 divisors (see below), whose sum is σ = 203661502683. Its totient is φ = 38565767520.

The previous prime is 90045605761. The next prime is 90045605789. The reversal of 90045605776 is 67750654009.

The square root of 90045605776 is 300076.

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

It is a super-2 number, since 2×90045605776² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 58814131 + ... + 58815661.

Almost surely, 2^90045605776 is an apocalyptic number.

90045605776 is the 300076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90045605776

90045605776 is an abundant number, since it is smaller than the sum of its proper divisors (113615896907).

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

90045605776 is an frugal number, since it uses more digits than its factorization.

90045605776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 1540 counting only the distinct ones).

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

Multiplying 90045605776 by its sum of digits (49), we get a square (4412234683024 = 2100532²).

90045605776 divided by its sum of digits (49) gives a square (1837665424 = 42868²).

The spelling of 90045605776 in words is "ninety billion, forty-five million, six hundred five thousand, seven hundred seventy-six".