45372182400 has 1152 divisors, whose sum is σ = 183694492800. Its totient is φ = 11018280960.

The previous prime is 45372182371. The next prime is 45372182407. The reversal of 45372182400 is 428127354.

It is a happy number.

45372182400 is a `hidden beast` number, since 4 + 5 + 3 + 72 + 182 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45372182407) 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 143 ways as a sum of consecutive naturals, for example, 546652759 + ... + 546652841.

It is an arithmetic number, because the mean of its divisors is an integer number (159457025).

Almost surely, 2^45372182400 is an apocalyptic number.

45372182400 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 45372182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91847246400).

45372182400 is an abundant number, since it is smaller than the sum of its proper divisors (138322310400).

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

45372182400 is a wasteful number, since it uses less digits than its factorization.

45372182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 45372182400 in words is "forty-five billion, three hundred seventy-two million, one hundred eighty-two thousand, four hundred".