45282093120 has 448 divisors, whose sum is σ = 174792314880. Its totient is φ = 10944460800.

The previous prime is 45282093097. The next prime is 45282093139. The reversal of 45282093120 is 2139028254.

It is a happy number.

45282093120 is a `hidden beast` number, since 4 + 528 + 2 + 0 + 9 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49705465 + ... + 49706375.

Almost surely, 2^45282093120 is an apocalyptic number.

45282093120 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 45282093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87396157440).

45282093120 is an abundant number, since it is smaller than the sum of its proper divisors (129510221760).

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

45282093120 is a wasteful number, since it uses less digits than its factorization.

45282093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 45282093120 in words is "forty-five billion, two hundred eighty-two million, ninety-three thousand, one hundred twenty".