45901874188800 has 5760 divisors, whose sum is σ = 222611011983360. Its totient is φ = 9115611955200.

The previous prime is 45901874188759. The next prime is 45901874188867. The reversal of 45901874188800 is 888147810954.

45901874188800 is a `hidden beast` number, since 45 + 90 + 18 + 7 + 418 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 428989478347 + ... + 428989478453.

It is an arithmetic number, because the mean of its divisors is an integer number (38647745136).

Almost surely, 2^{45901874188800} is an apocalyptic number.

45901874188800 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 45901874188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111305505991680).

45901874188800 is an abundant number, since it is smaller than the sum of its proper divisors (176709137794560).

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

45901874188800 is a wasteful number, since it uses less digits than its factorization.

45901874188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 45901874188800 in words is "forty-five trillion, nine hundred one billion, eight hundred seventy-four million, one hundred eighty-eight thousand, eight hundred".