45188408201706 has 384 divisors, whose sum is σ = 129969785088000. Its totient is φ = 10992324672000.

The previous prime is 45188408201683. The next prime is 45188408201711. The reversal of 45188408201706 is 60710280488154.

45188408201706 is a `hidden beast` number, since 4 + 518 + 8 + 40 + 82 + 0 + 1 + 7 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 827887336 + ... + 827941916.

It is an arithmetic number, because the mean of its divisors is an integer number (338462982000).

Almost surely, 2^{45188408201706} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45188408201706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64984892544000).

45188408201706 is an abundant number, since it is smaller than the sum of its proper divisors (84781376886294).

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

45188408201706 is a wasteful number, since it uses less digits than its factorization.

45188408201706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54986 (or 54983 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 45188408201706 in words is "forty-five trillion, one hundred eighty-eight billion, four hundred eight million, two hundred one thousand, seven hundred six".