45791747641600 has 243 divisors, whose sum is σ = 114133762980111. Its totient is φ = 18189588480000.

The previous prime is 45791747641597. The next prime is 45791747641639. The reversal of 45791747641600 is 614674719754.

The square root of 45791747641600 is 6766960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6340485153024 + 39451262488576 = 2518032^2 + 6281024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 135880556632 + ... + 135880556968.

Almost surely, 2^{45791747641600} is an apocalyptic number.

45791747641600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45791747641600 is the 6766960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45791747641600

45791747641600 is an abundant number, since it is smaller than the sum of its proper divisors (68342015338511).

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

45791747641600 is an frugal number, since it uses more digits than its factorization.

45791747641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 61.

The spelling of 45791747641600 in words is "forty-five trillion, seven hundred ninety-one billion, seven hundred forty-seven million, six hundred forty-one thousand, six hundred".