45943278796800 has 2520 divisors, whose sum is σ = 212959543591872. Its totient is φ = 9512681472000.

The previous prime is 45943278796781. The next prime is 45943278796801. The reversal of 45943278796800 is 869787234954.

45943278796800 is a `hidden beast` number, since 4 + 59 + 432 + 7 + 87 + 9 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×45943278796800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45943278796801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 163499212660 + ... + 163499212940.

Almost surely, 2^{45943278796800} is an apocalyptic number.

45943278796800 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 45943278796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106479771795936).

45943278796800 is an abundant number, since it is smaller than the sum of its proper divisors (167016264795072).

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

45943278796800 is an frugal number, since it uses more digits than its factorization.

45943278796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 45943278796800 in words is "forty-five trillion, nine hundred forty-three billion, two hundred seventy-eight million, seven hundred ninety-six thousand, eight hundred".