45029176920 has 768 divisors, whose sum is σ = 192387686400. Its totient is φ = 8868372480.

The previous prime is 45029176919. The next prime is 45029176949. The reversal of 45029176920 is 2967192054.

45029176920 is a `hidden beast` number, since 450 + 2 + 9 + 176 + 9 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 45437625 + ... + 45438615.

It is an arithmetic number, because the mean of its divisors is an integer number (250504800).

Almost surely, 2^45029176920 is an apocalyptic number.

45029176920 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 45029176920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96193843200).

45029176920 is an abundant number, since it is smaller than the sum of its proper divisors (147358509480).

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

45029176920 is a wasteful number, since it uses less digits than its factorization.

45029176920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 45029176920 in words is "forty-five billion, twenty-nine million, one hundred seventy-six thousand, nine hundred twenty".