45749104128 has 640 divisors, whose sum is σ = 170929059840. Its totient is φ = 11758141440.

The previous prime is 45749104123. The next prime is 45749104129. The reversal of 45749104128 is 82140194754.

45749104128 is a `hidden beast` number, since 4 + 574 + 9 + 10 + 41 + 28 = 666.

45749104128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45749104123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51576901 + ... + 51577787.

It is an arithmetic number, because the mean of its divisors is an integer number (267076656).

Almost surely, 2^45749104128 is an apocalyptic number.

45749104128 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 45749104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85464529920).

45749104128 is an abundant number, since it is smaller than the sum of its proper divisors (125179955712).

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

45749104128 is a wasteful number, since it uses less digits than its factorization.

45749104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 45749104128 in words is "forty-five billion, seven hundred forty-nine million, one hundred four thousand, one hundred twenty-eight".