45975418720 has 384 divisors, whose sum is σ = 143413079040. Its totient is φ = 13493329920.

The previous prime is 45975418703. The next prime is 45975418747. The reversal of 45975418720 is 2781457954.

It is a super-2 number, since 2×45975418720² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46113262 + ... + 46114258.

It is an arithmetic number, because the mean of its divisors is an integer number (373471560).

Almost surely, 2^45975418720 is an apocalyptic number.

45975418720 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 45975418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71706539520).

45975418720 is an abundant number, since it is smaller than the sum of its proper divisors (97437660320).

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

45975418720 is a wasteful number, since it uses less digits than its factorization.

45975418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 45975418720 in words is "forty-five billion, nine hundred seventy-five million, four hundred eighteen thousand, seven hundred twenty".