45137715168 has 288 divisors, whose sum is σ = 151372634112. Its totient is φ = 11519539200.

The previous prime is 45137715151. The next prime is 45137715169. The reversal of 45137715168 is 86151773154.

45137715168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45137715169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3514198 + ... + 3527018.

It is an arithmetic number, because the mean of its divisors is an integer number (525599424).

Almost surely, 2^45137715168 is an apocalyptic number.

45137715168 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 45137715168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75686317056).

45137715168 is an abundant number, since it is smaller than the sum of its proper divisors (106234918944).

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

45137715168 is a wasteful number, since it uses less digits than its factorization.

45137715168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12898 (or 12877 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The spelling of 45137715168 in words is "forty-five billion, one hundred thirty-seven million, seven hundred fifteen thousand, one hundred sixty-eight".