45512213520 has 160 divisors (see below), whose sum is σ = 145962086400. Its totient is φ = 11719042560.

The previous prime is 45512213507. The next prime is 45512213531. The reversal of 45512213520 is 2531221554.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3467931 + ... + 3481029.

It is an arithmetic number, because the mean of its divisors is an integer number (912263040).

Almost surely, 2^45512213520 is an apocalyptic number.

45512213520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45512213520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72981043200).

45512213520 is an abundant number, since it is smaller than the sum of its proper divisors (100449872880).

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

45512213520 is a wasteful number, since it uses less digits than its factorization.

45512213520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13613 (or 13607 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 45512213520 in words is "forty-five billion, five hundred twelve million, two hundred thirteen thousand, five hundred twenty".