45137240824176 has 240 divisors, whose sum is σ = 139492679040000. Its totient is φ = 13568515269120.

The previous prime is 45137240824141. The next prime is 45137240824219. The reversal of 45137240824176 is 67142804273154.

45137240824176 is a `hidden beast` number, since 4 + 51 + 372 + 40 + 82 + 41 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1627225 + ... + 9639623.

It is an arithmetic number, because the mean of its divisors is an integer number (581219496000).

Almost surely, 2^{45137240824176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45137240824176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69746339520000).

45137240824176 is an abundant number, since it is smaller than the sum of its proper divisors (94355438215824).

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

45137240824176 is a wasteful number, since it uses less digits than its factorization.

45137240824176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8012532 (or 8012523 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 45137240824176 in words is "forty-five trillion, one hundred thirty-seven billion, two hundred forty million, eight hundred twenty-four thousand, one hundred seventy-six".