45185212800 has 1152 divisors, whose sum is σ = 207413287200. Its totient is φ = 9521971200.

The previous prime is 45185212783. The next prime is 45185212819. The reversal of 45185212800 is 821258154.

45185212800 is a `hidden beast` number, since 4 + 51 + 8 + 521 + 2 + 80 + 0 = 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55036390 + ... + 55037210.

Almost surely, 2^45185212800 is an apocalyptic number.

45185212800 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 45185212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103706643600).

45185212800 is an abundant number, since it is smaller than the sum of its proper divisors (162228074400).

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

45185212800 is a wasteful number, since it uses less digits than its factorization.

45185212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 45185212800 in words is "forty-five billion, one hundred eighty-five million, two hundred twelve thousand, eight hundred".