45160138179072 has 800 divisors, whose sum is σ = 163217403917568. Its totient is φ = 12135803387904.

The previous prime is 45160138179067. The next prime is 45160138179073. The reversal of 45160138179072 is 27097183106154.

45160138179072 is a `hidden beast` number, since 4 + 51 + 60 + 1 + 381 + 7 + 90 + 72 = 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 (45160138179073) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13063387968 + ... + 13063391424.

It is a 2-persistent number, because it is pandigital, and so is 2⋅45160138179072 = 90320276358144, but 3⋅45160138179072 = 135480414537216 is not.

Almost surely, 2^{45160138179072} is an apocalyptic number.

45160138179072 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 45160138179072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81608701958784).

45160138179072 is an abundant number, since it is smaller than the sum of its proper divisors (118057265738496).

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

45160138179072 is a wasteful number, since it uses less digits than its factorization.

45160138179072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6133 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 45160138179072 in words is "forty-five trillion, one hundred sixty billion, one hundred thirty-eight million, one hundred seventy-nine thousand, seventy-two".