45618911520 has 384 divisors, whose sum is σ = 179006091264. Its totient is φ = 9508368384.

The previous prime is 45618911489. The next prime is 45618911537. The reversal of 45618911520 is 2511981654.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3619149 + ... + 3631731.

It is an arithmetic number, because the mean of its divisors is an integer number (466161696).

Almost surely, 2^45618911520 is an apocalyptic number.

45618911520 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 45618911520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89503045632).

45618911520 is an abundant number, since it is smaller than the sum of its proper divisors (133387179744).

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

45618911520 is a wasteful number, since it uses less digits than its factorization.

45618911520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12704 (or 12696 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 45618911520 in words is "forty-five billion, six hundred eighteen million, nine hundred eleven thousand, five hundred twenty".