45734727456000 has 864 divisors, whose sum is σ = 180032068419840. Its totient is φ = 11056048128000.

The previous prime is 45734727455971. The next prime is 45734727456001. The reversal of 45734727456000 is 65472743754.

45734727456000 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 4 + 7 + 2 + 74 + 560 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45734727456001) 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, 1137291894 + ... + 1137332106.

It is an arithmetic number, because the mean of its divisors is an integer number (208370449560).

Almost surely, 2^{45734727456000} is an apocalyptic number.

45734727456000 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 45734727456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90016034209920).

45734727456000 is an abundant number, since it is smaller than the sum of its proper divisors (134297340963840).

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

45734727456000 is a wasteful number, since it uses less digits than its factorization.

45734727456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40620 (or 40593 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 54.

The spelling of 45734727456000 in words is "forty-five trillion, seven hundred thirty-four billion, seven hundred twenty-seven million, four hundred fifty-six thousand".