45275092128 has 288 divisors, whose sum is σ = 155567865600. Its totient is φ = 12771053568.

The previous prime is 45275092111. The next prime is 45275092147. The reversal of 45275092128 is 82129057254.

45275092128 is a `hidden beast` number, since 452 + 75 + 0 + 9 + 2 + 128 = 666.

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

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, 3337776 + ... + 3351312.

It is an arithmetic number, because the mean of its divisors is an integer number (540166200).

Almost surely, 2^45275092128 is an apocalyptic number.

45275092128 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 45275092128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77783932800).

45275092128 is an abundant number, since it is smaller than the sum of its proper divisors (110292773472).

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

45275092128 is a wasteful number, since it uses less digits than its factorization.

45275092128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13649 (or 13628 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 45275092128 in words is "forty-five billion, two hundred seventy-five million, ninety-two thousand, one hundred twenty-eight".