45997844112000 has 3072 divisors, whose sum is σ = 202656504960000. Its totient is φ = 10204102656000.

The previous prime is 45997844111993. The next prime is 45997844112001. The reversal of 45997844112000 is 21144879954.

45997844112000 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 78 + 441 + 120 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45997844112001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 32879087301 + ... + 32879088699.

It is an arithmetic number, because the mean of its divisors is an integer number (65968914375).

Almost surely, 2^{45997844112000} is an apocalyptic number.

45997844112000 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 45997844112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101328252480000).

45997844112000 is an abundant number, since it is smaller than the sum of its proper divisors (156658660848000).

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

45997844112000 is a wasteful number, since it uses less digits than its factorization.

45997844112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 45997844112000 in words is "forty-five trillion, nine hundred ninety-seven billion, eight hundred forty-four million, one hundred twelve thousand".