45943088160000 has 720 divisors, whose sum is σ = 156306537946944. Its totient is φ = 11971854336000.

The previous prime is 45943088159987. The next prime is 45943088160029. The reversal of 45943088160000 is 6188034954.

It is a super-2 number, since 2×45943088160000² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6538076487 + ... + 6538083513.

Almost surely, 2^{45943088160000} is an apocalyptic number.

45943088160000 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 45943088160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78153268973472).

45943088160000 is an abundant number, since it is smaller than the sum of its proper divisors (110363449786944).

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

45943088160000 is an equidigital number, since it uses as much as digits as its factorization.

45943088160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 45943088160000 in words is "forty-five trillion, nine hundred forty-three billion, eighty-eight million, one hundred sixty thousand".