45740736000000 has 546 divisors, whose sum is σ = 165154682789876. Its totient is φ = 12197376000000.

The previous prime is 45740735999989. The next prime is 45740736000017. The reversal of 45740736000000 is 63704754.

45740736000000 is a `hidden beast` number, since 4 + 5 + 7 + 40 + 7 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 575960295 + ... + 576039705.

Almost surely, 2^{45740736000000} is an apocalyptic number.

45740736000000 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 45740736000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82577341394938).

45740736000000 is an abundant number, since it is smaller than the sum of its proper divisors (119413946789876).

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

45740736000000 is an frugal number, since it uses more digits than its factorization.

45740736000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79471 (or 79421 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 45740736000000 its reverse (63704754), we get a palindrome (45740799704754).

The spelling of 45740736000000 in words is "forty-five trillion, seven hundred forty billion, seven hundred thirty-six million", and thus it is an aban number.