45987831120 has 720 divisors, whose sum is σ = 186164334720. Its totient is φ = 9192099840.

The previous prime is 45987831107. The next prime is 45987831121. The reversal of 45987831120 is 2113878954.

It is a super-2 number, since 2×45987831120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45987831120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45987831121) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 170958346 + ... + 170958614.

It is an arithmetic number, because the mean of its divisors is an integer number (258561576).

Almost surely, 2^45987831120 is an apocalyptic number.

45987831120 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 45987831120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93082167360).

45987831120 is an abundant number, since it is smaller than the sum of its proper divisors (140176503600).

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

45987831120 is a wasteful number, since it uses less digits than its factorization.

45987831120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 45987831120 in words is "forty-five billion, nine hundred eighty-seven million, eight hundred thirty-one thousand, one hundred twenty".