45438890896 has 135 divisors (see below), whose sum is σ = 107382054843. Its totient is φ = 18570847680.

The previous prime is 45438890843. The next prime is 45438890923. The reversal of 45438890896 is 69809883454.

The square root of 45438890896 is 213164.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137277451 + ... + 137277781.

Almost surely, 2^45438890896 is an apocalyptic number.

45438890896 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

45438890896 is the 213164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45438890896

45438890896 is an abundant number, since it is smaller than the sum of its proper divisors (61943163947).

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

45438890896 is an equidigital number, since it uses as much as digits as its factorization.

45438890896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 64.

Multiplying 45438890896 by its sum of digits (64), we get a square (2908089017344 = 1705312²).

The spelling of 45438890896 in words is "forty-five billion, four hundred thirty-eight million, eight hundred ninety thousand, eight hundred ninety-six".