45890205696 has 384 divisors, whose sum is σ = 147813120000. Its totient is φ = 14014218240.

The previous prime is 45890205679. The next prime is 45890205703. The reversal of 45890205696 is 69650209854.

It is a happy number.

45890205696 is a `hidden beast` number, since 4 + 58 + 9 + 0 + 20 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32568640 + ... + 32570048.

It is an arithmetic number, because the mean of its divisors is an integer number (384930000).

Almost surely, 2^45890205696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45890205696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73906560000).

45890205696 is an abundant number, since it is smaller than the sum of its proper divisors (101922914304).

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

45890205696 is a wasteful number, since it uses less digits than its factorization.

45890205696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 45890205696 in words is "forty-five billion, eight hundred ninety million, two hundred five thousand, six hundred ninety-six".