90825082384 has 45 divisors (see below), whose sum is σ = 179147040397. Its totient is φ = 44607877952.

The previous prime is 90825082379. The next prime is 90825082393. The reversal of 90825082384 is 48328052809.

It is a happy number.

The square root of 90825082384 is 301372.

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., 59662947600 + 31162134784 = 244260^2 + 176528^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71123154 + ... + 71124430.

Almost surely, 2^90825082384 is an apocalyptic number.

90825082384 is the 301372-nd square number.

It is an amenable number.

90825082384 is a deficient number, since it is larger than the sum of its proper divisors (88321958013).

90825082384 is an frugal number, since it uses more digits than its factorization.

90825082384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

Multiplying 90825082384 by its sum of digits (49), we get a square (4450429036816 = 2109604²).

The spelling of 90825082384 in words is "ninety billion, eight hundred twenty-five million, eighty-two thousand, three hundred eighty-four".