45146949120 has 960 divisors, whose sum is σ = 196147695744. Its totient is φ = 9342812160.

The previous prime is 45146949101. The next prime is 45146949131. The reversal of 45146949120 is 2194964154.

45146949120 is a `hidden beast` number, since 4 + 514 + 6 + 9 + 4 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127894864 + ... + 127895216.

Almost surely, 2^45146949120 is an apocalyptic number.

45146949120 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 45146949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98073847872).

45146949120 is an abundant number, since it is smaller than the sum of its proper divisors (151000746624).

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

45146949120 is a wasteful number, since it uses less digits than its factorization.

45146949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 45146949120 in words is "forty-five billion, one hundred forty-six million, nine hundred forty-nine thousand, one hundred twenty".