45791737712640 has 1248 divisors, whose sum is σ = 173031160872960. Its totient is φ = 11158821273600.

The previous prime is 45791737712639. The next prime is 45791737712647. The reversal of 45791737712640 is 4621773719754.

45791737712640 is a `hidden beast` number, since 4 + 57 + 91 + 7 + 377 + 126 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (45791737712647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50265353785 + ... + 50265354695.

It is an arithmetic number, because the mean of its divisors is an integer number (138646763520).

Almost surely, 2^{45791737712640} is an apocalyptic number.

45791737712640 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 45791737712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86515580436480).

45791737712640 is an abundant number, since it is smaller than the sum of its proper divisors (127239423160320).

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

45791737712640 is a wasteful number, since it uses less digits than its factorization.

45791737712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 63.

The spelling of 45791737712640 in words is "forty-five trillion, seven hundred ninety-one billion, seven hundred thirty-seven million, seven hundred twelve thousand, six hundred forty".