13712969088 has 384 divisors, whose sum is σ = 50709708000. Its totient is φ = 3616026624.

The previous prime is 13712968987. The next prime is 13712969113. The reversal of 13712969088 is 88096921731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×13712969088⁴ (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2198358 + ... + 2204586.

Almost surely, 2^13712969088 is an apocalyptic number.

13712969088 is a gapful number since it is divisible by the number (18) 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 13712969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25354854000).

13712969088 is an abundant number, since it is smaller than the sum of its proper divisors (36996738912).

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

13712969088 is a wasteful number, since it uses less digits than its factorization.

13712969088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6279 (or 6254 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 13712969088 in words is "thirteen billion, seven hundred twelve million, nine hundred sixty-nine thousand, eighty-eight".