45515150400 has 168 divisors, whose sum is σ = 153364102720. Its totient is φ = 11809290240.

The previous prime is 45515150377. The next prime is 45515150407. The reversal of 45515150400 is 405151554.

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

It is not an unprimeable number, because it can be changed into a prime (45515150407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49461 + ... + 305739.

Almost surely, 2^45515150400 is an apocalyptic number.

45515150400 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 45515150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76682051360).

45515150400 is an abundant number, since it is smaller than the sum of its proper divisors (107848952320).

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

45515150400 is a wasteful number, since it uses less digits than its factorization.

45515150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256341 (or 256326 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The spelling of 45515150400 in words is "forty-five billion, five hundred fifteen million, one hundred fifty thousand, four hundred".