45828182400 has 1536 divisors, whose sum is σ = 214186291200. Its totient is φ = 8294400000.

The previous prime is 45828182357. The next prime is 45828182401. The reversal of 45828182400 is 428182854.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45828182401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182582275 + ... + 182582525.

It is an arithmetic number, because the mean of its divisors is an integer number (139444200).

Almost surely, 2^45828182400 is an apocalyptic number.

45828182400 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 45828182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107093145600).

45828182400 is an abundant number, since it is smaller than the sum of its proper divisors (168358108800).

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

45828182400 is a wasteful number, since it uses less digits than its factorization.

45828182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The spelling of 45828182400 in words is "forty-five billion, eight hundred twenty-eight million, one hundred eighty-two thousand, four hundred".