13698738144 has 480 divisors, whose sum is σ = 49997122560. Its totient is φ = 3597737472.

The previous prime is 13698738143. The next prime is 13698738169. The reversal of 13698738144 is 44183789631.

13698738144 is a `hidden beast` number, since 136 + 98 + 7 + 381 + 44 = 666.

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

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 (13698738143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57316777 + ... + 57317015.

It is an arithmetic number, because the mean of its divisors is an integer number (104160672).

Almost surely, 2^13698738144 is an apocalyptic number.

13698738144 is a gapful number since it is divisible by the number (14) 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 13698738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998561280).

13698738144 is an abundant number, since it is smaller than the sum of its proper divisors (36298384416).

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

13698738144 is an frugal number, since it uses more digits than its factorization.

13698738144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 264 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 13698738144 in words is "thirteen billion, six hundred ninety-eight million, seven hundred thirty-eight thousand, one hundred forty-four".