45481195872 has 192 divisors, whose sum is σ = 152697484800. Its totient is φ = 12900902400.

The previous prime is 45481195849. The next prime is 45481195889. The reversal of 45481195872 is 27859118454.

45481195872 is a `hidden beast` number, since 4 + 5 + 48 + 1 + 19 + 587 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813622 + ... + 867722.

It is an arithmetic number, because the mean of its divisors is an integer number (795299400).

Almost surely, 2^45481195872 is an apocalyptic number.

45481195872 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 45481195872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76348742400).

45481195872 is an abundant number, since it is smaller than the sum of its proper divisors (107216288928).

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

45481195872 is a wasteful number, since it uses less digits than its factorization.

45481195872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54266 (or 54252 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 45481195872 in words is "forty-five billion, four hundred eighty-one million, one hundred ninety-five thousand, eight hundred seventy-two".