45418060800 has 1188 divisors, whose sum is σ = 197490875400. Its totient is φ = 10311598080.

The previous prime is 45418060777. The next prime is 45418060817. The reversal of 45418060800 is 806081454.

45418060800 is a `hidden beast` number, since 4 + 5 + 41 + 8 + 0 + 608 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304819126 + ... + 304819274.

Almost surely, 2^45418060800 is an apocalyptic number.

45418060800 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 45418060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98745437700).

45418060800 is an abundant number, since it is smaller than the sum of its proper divisors (152072814600).

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

45418060800 is a wasteful number, since it uses less digits than its factorization.

45418060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 45418060800 in words is "forty-five billion, four hundred eighteen million, sixty thousand, eight hundred".