45428631151104 has 480 divisors, whose sum is σ = 135103945204800. Its totient is φ = 14690186919936.

The previous prime is 45428631151093. The next prime is 45428631151109. The reversal of 45428631151104 is 40115113682454.

45428631151104 is a `hidden beast` number, since 4 + 5 + 4 + 2 + 8 + 631 + 1 + 5 + 1 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45428631151104.

It is not an unprimeable number, because it can be changed into a prime (45428631151109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5715008122 + ... + 5715016070.

It is an arithmetic number, because the mean of its divisors is an integer number (281466552510).

Almost surely, 2^{45428631151104} 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 45428631151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67551972602400).

45428631151104 is an abundant number, since it is smaller than the sum of its proper divisors (89675314053696).

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

45428631151104 is a wasteful number, since it uses less digits than its factorization.

45428631151104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 45428631151104 in words is "forty-five trillion, four hundred twenty-eight billion, six hundred thirty-one million, one hundred fifty-one thousand, one hundred four".