45624358890 has 160 divisors (see below), whose sum is σ = 133961636160. Its totient is φ = 11049696000.

The previous prime is 45624358859. The next prime is 45624358909. The reversal of 45624358890 is 9885342654.

45624358890 is a `hidden beast` number, since 4 + 5 + 624 + 3 + 5 + 8 + 8 + 9 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12926646 + ... + 12930174.

It is an arithmetic number, because the mean of its divisors is an integer number (837260226).

Almost surely, 2^45624358890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45624358890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66980818080).

45624358890 is an abundant number, since it is smaller than the sum of its proper divisors (88337277270).

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

45624358890 is a wasteful number, since it uses less digits than its factorization.

45624358890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 45624358890 in words is "forty-five billion, six hundred twenty-four million, three hundred fifty-eight thousand, eight hundred ninety".