45166605120 has 1344 divisors, whose sum is σ = 204497879040. Its totient is φ = 8890269696.

The previous prime is 45166605101. The next prime is 45166605139. The reversal of 45166605120 is 2150666154.

It is an interprime number because it is at equal distance from previous prime (45166605101) and next prime (45166605139).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355642497 + ... + 355642623.

It is an arithmetic number, because the mean of its divisors is an integer number (152156160).

Almost surely, 2^45166605120 is an apocalyptic number.

45166605120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45166605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102248939520).

45166605120 is an abundant number, since it is smaller than the sum of its proper divisors (159331273920).

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

45166605120 is a wasteful number, since it uses less digits than its factorization.

45166605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45166605120 in words is "forty-five billion, one hundred sixty-six million, six hundred five thousand, one hundred twenty".