45105262176 has 48 divisors (see below), whose sum is σ = 127509110064. Its totient is φ = 13878541824.

The previous prime is 45105262157. The next prime is 45105262177. The reversal of 45105262176 is 67126250154.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45105262177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18069771 + ... + 18072266.

It is an arithmetic number, because the mean of its divisors is an integer number (2656439793).

Almost surely, 2^45105262176 is an apocalyptic number.

It is an amenable number.

45105262176 is an abundant number, since it is smaller than the sum of its proper divisors (82403847888).

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

45105262176 is a wasteful number, since it uses less digits than its factorization.

45105262176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36142063 (or 36142055 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 45105262176 in words is "forty-five billion, one hundred five million, two hundred sixty-two thousand, one hundred seventy-six".