45589720071168 has 2816 divisors, whose sum is σ = 178422415360000. Its totient is φ = 11412430848000.

The previous prime is 45589720071167. The next prime is 45589720071193. The reversal of 45589720071168 is 86117002798554.

45589720071168 is a `hidden beast` number, since 4 + 558 + 9 + 7 + 2 + 0 + 0 + 7 + 11 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45589720071167) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 301918675893 + ... + 301918676043.

Almost surely, 2^{45589720071168} is an apocalyptic number.

45589720071168 is a gapful number since it is divisible by the number (48) 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 45589720071168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89211207680000).

45589720071168 is an abundant number, since it is smaller than the sum of its proper divisors (132832695288832).

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

45589720071168 is a wasteful number, since it uses less digits than its factorization.

45589720071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 45589720071168 in words is "forty-five trillion, five hundred eighty-nine billion, seven hundred twenty million, seventy-one thousand, one hundred sixty-eight".