45639871200 has 864 divisors, whose sum is σ = 208149177600. Its totient is φ = 9480499200.

The previous prime is 45639871187. The next prime is 45639871229. The reversal of 45639871200 is 217893654.

45639871200 is a `hidden beast` number, since 4 + 5 + 639 + 8 + 7 + 1 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 14967276 + ... + 14970324.

It is an arithmetic number, because the mean of its divisors is an integer number (240913400).

It is a 1-persistent number, because it is pandigital, but 2⋅45639871200 = 91279742400 is not.

Almost surely, 2^45639871200 is an apocalyptic number.

45639871200 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 45639871200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104074588800).

45639871200 is an abundant number, since it is smaller than the sum of its proper divisors (162509306400).

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

45639871200 is a wasteful number, since it uses less digits than its factorization.

45639871200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3102 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 45639871200 in words is "forty-five billion, six hundred thirty-nine million, eight hundred seventy-one thousand, two hundred".