45161908110 has 384 divisors, whose sum is σ = 139211923968. Its totient is φ = 10119859200.

The previous prime is 45161908031. The next prime is 45161908111. The reversal of 45161908110 is 1180916154.

It is a happy number.

45161908110 is a `hidden beast` number, since 451 + 6 + 1 + 90 + 8 + 110 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45161908111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 136440645 + ... + 136440975.

It is an arithmetic number, because the mean of its divisors is an integer number (362531052).

Almost surely, 2^45161908110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45161908110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69605961984).

45161908110 is an abundant number, since it is smaller than the sum of its proper divisors (94050015858).

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

45161908110 is a wasteful number, since it uses less digits than its factorization.

45161908110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 45161908110 in words is "forty-five billion, one hundred sixty-one million, nine hundred eight thousand, one hundred ten".