45824486400 has 1980 divisors, whose sum is σ = 220582116216. Its totient is φ = 9289728000.

The previous prime is 45824486363. The next prime is 45824486419. The reversal of 45824486400 is 468442854.

45824486400 is a `hidden beast` number, since 4 + 582 + 4 + 4 + 8 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1117670380 + ... + 1117670420.

Almost surely, 2^45824486400 is an apocalyptic number.

45824486400 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 45824486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110291058108).

45824486400 is an abundant number, since it is smaller than the sum of its proper divisors (174757629816).

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

45824486400 is a wasteful number, since it uses less digits than its factorization.

45824486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

It can be divided in two parts, 458244 and 86400, that added together give a square (544644 = 738²).

The spelling of 45824486400 in words is "forty-five billion, eight hundred twenty-four million, four hundred eighty-six thousand, four hundred".