45128187320832 has 2240 divisors, whose sum is σ = 179148409482240. Its totient is φ = 11088421724160.

The previous prime is 45128187320753. The next prime is 45128187320893. The reversal of 45128187320832 is 23802378182154.

45128187320832 is a `hidden beast` number, since 4 + 5 + 1 + 281 + 8 + 7 + 320 + 8 + 32 = 666.

It is a super-2 number, since 2×45128187320832² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 66073480363 + ... + 66073481045.

Almost surely, 2^{45128187320832} is an apocalyptic number.

45128187320832 is a gapful number since it is divisible by the number (42) 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 45128187320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89574204741120).

45128187320832 is an abundant number, since it is smaller than the sum of its proper divisors (134020222161408).

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

45128187320832 is an frugal number, since it uses more digits than its factorization.

45128187320832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 45128187320832 in words is "forty-five trillion, one hundred twenty-eight billion, one hundred eighty-seven million, three hundred twenty thousand, eight hundred thirty-two".