45090834834816 has 128 divisors (see below), whose sum is σ = 135066867062400. Its totient is φ = 14805945690624.

The previous prime is 45090834834781. The next prime is 45090834834827. The reversal of 45090834834816 is 61843843809054.

45090834834816 is a `hidden beast` number, since 4 + 50 + 90 + 8 + 3 + 483 + 4 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45090834834816² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97134990 + ... + 97598093.

It is an arithmetic number, because the mean of its divisors is an integer number (1055209898925).

Almost surely, 2^{45090834834816} is an apocalyptic number.

It is an amenable number.

45090834834816 is an abundant number, since it is smaller than the sum of its proper divisors (89976032227584).

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

45090834834816 is a wasteful number, since it uses less digits than its factorization.

45090834834816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194733173 (or 194733155 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 45090834834816 in words is "forty-five trillion, ninety billion, eight hundred thirty-four million, eight hundred thirty-four thousand, eight hundred sixteen".