45598144189554 has 384 divisors, whose sum is σ = 116511829125120. Its totient is φ = 12742240896000.

The previous prime is 45598144189553. The next prime is 45598144189583.

45598144189554 is a `hidden beast` number, since 4 + 5 + 5 + 98 + 1 + 441 + 8 + 95 + 5 + 4 = 666.

45598144189554 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×45598144189554² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45598144189553) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15707247667 + ... + 15707250569.

It is an arithmetic number, because the mean of its divisors is an integer number (303416221680).

Almost surely, 2^{45598144189554} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45598144189554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58255914562560).

45598144189554 is an abundant number, since it is smaller than the sum of its proper divisors (70913684935566).

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

45598144189554 is a wasteful number, since it uses less digits than its factorization.

45598144189554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726 (or 3723 counting only the distinct ones).

The product of its digits is 829440000, while the sum is 72.

The spelling of 45598144189554 in words is "forty-five trillion, five hundred ninety-eight billion, one hundred forty-four million, one hundred eighty-nine thousand, five hundred fifty-four".