45627927058304 has 256 divisors, whose sum is σ = 102322530201600. Its totient is φ = 20161005649920.

The previous prime is 45627927058291. The next prime is 45627927058313. The reversal of 45627927058304 is 40385072972654.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895992587 + ... + 896043509.

It is an arithmetic number, because the mean of its divisors is an integer number (399697383600).

Almost surely, 2^{45627927058304} 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 45627927058304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51161265100800).

45627927058304 is an abundant number, since it is smaller than the sum of its proper divisors (56694603143296).

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

45627927058304 is a wasteful number, since it uses less digits than its factorization.

45627927058304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51381 (or 51369 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 62.

The spelling of 45627927058304 in words is "forty-five trillion, six hundred twenty-seven billion, nine hundred twenty-seven million, fifty-eight thousand, three hundred four".