45998621854752 has 384 divisors, whose sum is σ = 143124214947840. Its totient is φ = 12664176537600.

The previous prime is 45998621854751. The next prime is 45998621854763. The reversal of 45998621854752 is 25745812689954.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45998621854751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 570966858 + ... + 571047414.

It is an arithmetic number, because the mean of its divisors is an integer number (372719309760).

Almost surely, 2^{45998621854752} is an apocalyptic number.

45998621854752 is a gapful number since it is divisible by the number (42) 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 45998621854752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71562107473920).

45998621854752 is an abundant number, since it is smaller than the sum of its proper divisors (97125593093088).

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

45998621854752 is a wasteful number, since it uses less digits than its factorization.

45998621854752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80904 (or 80896 counting only the distinct ones).

The product of its digits is 1741824000, while the sum is 75.

The spelling of 45998621854752 in words is "forty-five trillion, nine hundred ninety-eight billion, six hundred twenty-one million, eight hundred fifty-four thousand, seven hundred fifty-two".