13847738688 has 840 divisors, whose sum is σ = 53273675520. Its totient is φ = 3413975040.

The previous prime is 13847738687. The next prime is 13847738741. The reversal of 13847738688 is 88683774831.

13847738688 is a `hidden beast` number, since 1 + 3 + 8 + 477 + 3 + 86 + 88 = 666.

It is a super-2 number, since 2×13847738688² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13847738687) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 446701233 + ... + 446701263.

Almost surely, 2^13847738688 is an apocalyptic number.

13847738688 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 13847738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26636837760).

13847738688 is an abundant number, since it is smaller than the sum of its proper divisors (39425936832).

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

13847738688 is a wasteful number, since it uses less digits than its factorization.

13847738688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 79 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 13847738688 in words is "thirteen billion, eight hundred forty-seven million, seven hundred thirty-eight thousand, six hundred eighty-eight".