45218150400 has 288 divisors, whose sum is σ = 158287212720. Its totient is φ = 11348213760.

The previous prime is 45218150381. The next prime is 45218150423. The reversal of 45218150400 is 405181254.

It is a super-2 number, since 2×45218150400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 2602542 + ... + 2619858.

Almost surely, 2^45218150400 is an apocalyptic number.

45218150400 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 45218150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79143606360).

45218150400 is an abundant number, since it is smaller than the sum of its proper divisors (113069062320).

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

45218150400 is a wasteful number, since it uses less digits than its factorization.

45218150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17369 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 45218150400 in words is "forty-five billion, two hundred eighteen million, one hundred fifty thousand, four hundred".