14968631860 has 96 divisors (see below), whose sum is σ = 38722989312. Its totient is φ = 4733061120.

The previous prime is 14968631857. The next prime is 14968631879. The reversal of 14968631860 is 6813686941.

14968631860 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 14968631798 and 14968631807.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2473999 + ... + 2480041.

It is an arithmetic number, because the mean of its divisors is an integer number (403364472).

Almost surely, 2^14968631860 is an apocalyptic number.

14968631860 is a gapful number since it is divisible by the number (10) 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 14968631860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361494656).

14968631860 is an abundant number, since it is smaller than the sum of its proper divisors (23754357452).

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

14968631860 is a wasteful number, since it uses less digits than its factorization.

14968631860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 14968631860 in words is "fourteen billion, nine hundred sixty-eight million, six hundred thirty-one thousand, eight hundred sixty".