45606029184 has 256 divisors, whose sum is σ = 140378112000. Its totient is φ = 14558164992.

The previous prime is 45606029179. The next prime is 45606029207. The reversal of 45606029184 is 48192060654.

45606029184 is a `hidden beast` number, since 4 + 5 + 606 + 0 + 29 + 18 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 12726657 + ... + 12730239.

It is an arithmetic number, because the mean of its divisors is an integer number (548352000).

Almost surely, 2^45606029184 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 45606029184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70189056000).

45606029184 is an abundant number, since it is smaller than the sum of its proper divisors (94772082816).

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

45606029184 is a wasteful number, since it uses less digits than its factorization.

45606029184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3762 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 45606029184 in words is "forty-five billion, six hundred six million, twenty-nine thousand, one hundred eighty-four".