45259616220 has 576 divisors, whose sum is σ = 164838998016. Its totient is φ = 9073658880.

The previous prime is 45259616173. The next prime is 45259616221. The reversal of 45259616220 is 2261695254.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45259616221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147425307 + ... + 147425613.

It is an arithmetic number, because the mean of its divisors is an integer number (286178816).

Almost surely, 2^45259616220 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 45259616220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82419499008).

45259616220 is an abundant number, since it is smaller than the sum of its proper divisors (119579381796).

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

45259616220 is a wasteful number, since it uses less digits than its factorization.

45259616220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 45259616220 in words is "forty-five billion, two hundred fifty-nine million, six hundred sixteen thousand, two hundred twenty".