45973916860800 has 384 divisors, whose sum is σ = 155725782197760. Its totient is φ = 11915966832640.

The previous prime is 45973916860793. The next prime is 45973916860843. The reversal of 45973916860800 is 806861937954.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×45973916860800² (a number of 28 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54019369 + ... + 54863831.

It is an arithmetic number, because the mean of its divisors is an integer number (405535891140).

Almost surely, 2^{45973916860800} is an apocalyptic number.

45973916860800 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 45973916860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77862891098880).

45973916860800 is an abundant number, since it is smaller than the sum of its proper divisors (109751865336960).

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

45973916860800 is a wasteful number, since it uses less digits than its factorization.

45973916860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844650 (or 844633 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 45973916860800 in words is "forty-five trillion, nine hundred seventy-three billion, nine hundred sixteen million, eight hundred sixty thousand, eight hundred".