45106461120 has 112 divisors (see below), whose sum is σ = 163672040448. Its totient is φ = 10310046720.

The previous prime is 45106461083. The next prime is 45106461139. The reversal of 45106461120 is 2116460154.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3349416 + ... + 3362855.

It is an arithmetic number, because the mean of its divisors is an integer number (1461357504).

Almost surely, 2^45106461120 is an apocalyptic number.

45106461120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45106461120 is an abundant number, since it is smaller than the sum of its proper divisors (118565579328).

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

45106461120 is a wasteful number, since it uses less digits than its factorization.

45106461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712298 (or 6712288 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 45106461120 in words is "forty-five billion, one hundred six million, four hundred sixty-one thousand, one hundred twenty".