31618145328 has 480 divisors, whose sum is σ = 110165806080. Its totient is φ = 7705152000.

The previous prime is 31618145297. The next prime is 31618145381. The reversal of 31618145328 is 82354181613.

It is a happy number.

It is a super-2 number, since 2×31618145328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 31618145328.

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 95 ways as a sum of consecutive naturals, for example, 64395163 + ... + 64395653.

It is an arithmetic number, because the mean of its divisors is an integer number (229512096).

Almost surely, 2^31618145328 is an apocalyptic number.

31618145328 is a gapful number since it is divisible by the number (38) 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 31618145328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55082903040).

31618145328 is an abundant number, since it is smaller than the sum of its proper divisors (78547660752).

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

31618145328 is a wasteful number, since it uses less digits than its factorization.

31618145328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 664 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The spelling of 31618145328 in words is "thirty-one billion, six hundred eighteen million, one hundred forty-five thousand, three hundred twenty-eight".