13975829472 has 96 divisors (see below), whose sum is σ = 42375965184. Its totient is φ = 3985971200.

The previous prime is 13975829459. The next prime is 13975829579. The reversal of 13975829472 is 27492857931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371304 + ... + 407207.

It is an arithmetic number, because the mean of its divisors is an integer number (441416304).

Almost surely, 2^13975829472 is an apocalyptic number.

13975829472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13975829472 is an abundant number, since it is smaller than the sum of its proper divisors (28400135712).

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

13975829472 is a wasteful number, since it uses less digits than its factorization.

13975829472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778552 (or 778544 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The spelling of 13975829472 in words is "thirteen billion, nine hundred seventy-five million, eight hundred twenty-nine thousand, four hundred seventy-two".