45627875087676 has 192 divisors, whose sum is σ = 124667038003200. Its totient is φ = 12716697337344.

The previous prime is 45627875087651. The next prime is 45627875087693. The reversal of 45627875087676 is 67678057872654.

It is a congruent number.

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, 15113570895 + ... + 15113573913.

It is an arithmetic number, because the mean of its divisors is an integer number (649307489600).

Almost surely, 2^{45627875087676} 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 45627875087676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62333519001600).

45627875087676 is an abundant number, since it is smaller than the sum of its proper divisors (79039162915524).

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

45627875087676 is a wasteful number, since it uses less digits than its factorization.

45627875087676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 6638284800, while the sum is 78.

The spelling of 45627875087676 in words is "forty-five trillion, six hundred twenty-seven billion, eight hundred seventy-five million, eighty-seven thousand, six hundred seventy-six".