45014327534592 has 704 divisors, whose sum is σ = 149907567801600. Its totient is φ = 13247647580160.

The previous prime is 45014327534567. The next prime is 45014327534609. The reversal of 45014327534592 is 29543572341054.

It is a happy number.

45014327534592 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 43 + 2 + 7 + 5 + 3 + 4 + 592 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1115272492 + ... + 1115312852.

Almost surely, 2^{45014327534592} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45014327534592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74953783900800).

45014327534592 is an abundant number, since it is smaller than the sum of its proper divisors (104893240267008).

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

45014327534592 is a wasteful number, since it uses less digits than its factorization.

45014327534592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40539 (or 40515 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 45014327534592 in words is "forty-five trillion, fourteen billion, three hundred twenty-seven million, five hundred thirty-four thousand, five hundred ninety-two".