45086846400 has 672 divisors, whose sum is σ = 171620444160. Its totient is φ = 11501568000.

The previous prime is 45086846381. The next prime is 45086846401. The reversal of 45086846400 is 464868054.

45086846400 is a `hidden beast` number, since 4 + 508 + 6 + 84 + 64 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45086846401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175435072 + ... + 175435328.

Almost surely, 2^45086846400 is an apocalyptic number.

45086846400 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 45086846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85810222080).

45086846400 is an abundant number, since it is smaller than the sum of its proper divisors (126533597760).

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

45086846400 is a wasteful number, since it uses less digits than its factorization.

45086846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 45086846400 in words is "forty-five billion, eighty-six million, eight hundred forty-six thousand, four hundred".