45387080131680 has 768 divisors, whose sum is σ = 192570296002560. Its totient is φ = 9746538430464.

The previous prime is 45387080131651. The next prime is 45387080131711. The reversal of 45387080131680 is 8613108078354.

It is a happy number.

45387080131680 is a `hidden beast` number, since 4 + 538 + 7 + 0 + 8 + 0 + 13 + 16 + 80 = 666.

It is a super-2 number, since 2×45387080131680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 289348632 + ... + 289505448.

It is an arithmetic number, because the mean of its divisors is an integer number (250742572920).

Almost surely, 2^{45387080131680} is an apocalyptic number.

45387080131680 is a gapful number since it is divisible by the number (40) 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 45387080131680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96285148001280).

45387080131680 is an abundant number, since it is smaller than the sum of its proper divisors (147183215870880).

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

45387080131680 is a wasteful number, since it uses less digits than its factorization.

45387080131680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157428 (or 157414 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 45387080131680 in words is "forty-five trillion, three hundred eighty-seven billion, eighty million, one hundred thirty-one thousand, six hundred eighty".