31849648013568 has 1152 divisors, whose sum is σ = 114532024320000. Its totient is φ = 7606734520320.

The previous prime is 31849648013567. The next prime is 31849648013669. The reversal of 31849648013568 is 86531084694813.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 31849648013499 and 31849648013508.

It is not an unprimeable number, because it can be changed into a prime (31849648013567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24901991553 + ... + 24901992831.

It is an arithmetic number, because the mean of its divisors is an integer number (99420160000).

Almost surely, 2^{31849648013568} is an apocalyptic number.

31849648013568 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 31849648013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57266012160000).

31849648013568 is an abundant number, since it is smaller than the sum of its proper divisors (82682376306432).

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

31849648013568 is a wasteful number, since it uses less digits than its factorization.

31849648013568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 31849648013568 in words is "thirty-one trillion, eight hundred forty-nine billion, six hundred forty-eight million, thirteen thousand, five hundred sixty-eight".