45187945500672 has 3328 divisors, whose sum is σ = 172052833075200. Its totient is φ = 11557907988480.

The previous prime is 45187945500667. The next prime is 45187945500701. The reversal of 45187945500672 is 27600554978154.

It is a happy number.

45187945500672 is a `hidden beast` number, since 4 + 5 + 1 + 8 + 7 + 9 + 4 + 550 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 619012952028 + ... + 619012952100.

Almost surely, 2^{45187945500672} 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 45187945500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86026416537600).

45187945500672 is an abundant number, since it is smaller than the sum of its proper divisors (126864887574528).

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

45187945500672 is a wasteful number, since it uses less digits than its factorization.

45187945500672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 45187945500672 in words is "forty-five trillion, one hundred eighty-seven billion, nine hundred forty-five million, five hundred thousand, six hundred seventy-two".