45029937888 has 288 divisors, whose sum is σ = 141986688480. Its totient is φ = 13448724480.

The previous prime is 45029937803. The next prime is 45029937899. The reversal of 45029937888 is 88873992054.

45029937888 is a `hidden beast` number, since 4 + 502 + 99 + 37 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35765803 + ... + 35767061.

It is an arithmetic number, because the mean of its divisors is an integer number (493009335).

Almost surely, 2^45029937888 is an apocalyptic number.

45029937888 is a gapful number since it is divisible by the number (48) 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 45029937888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70993344240).

45029937888 is an abundant number, since it is smaller than the sum of its proper divisors (96956750592).

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

45029937888 is a wasteful number, since it uses less digits than its factorization.

45029937888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 45029937888 in words is "forty-five billion, twenty-nine million, nine hundred thirty-seven thousand, eight hundred eighty-eight".