13897638144 has 216 divisors, whose sum is σ = 44209058712. Its totient is φ = 4171530240.

The previous prime is 13897638143. The next prime is 13897638149. The reversal of 13897638144 is 44183679831.

13897638144 is a `hidden beast` number, since 138 + 97 + 6 + 381 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 681836544 + 13215801600 = 26112^2 + 114960^2 .

It is not an unprimeable number, because it can be changed into a prime (13897638143) 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 23 ways as a sum of consecutive naturals, for example, 1222374 + ... + 1233690.

Almost surely, 2^13897638144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13897638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22104529356).

13897638144 is an abundant number, since it is smaller than the sum of its proper divisors (30311420568).

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

13897638144 is a wasteful number, since it uses less digits than its factorization.

13897638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11393 (or 11376 counting only the distinct ones).

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

The spelling of 13897638144 in words is "thirteen billion, eight hundred ninety-seven million, six hundred thirty-eight thousand, one hundred forty-four".