13897142784 has 400 divisors, whose sum is σ = 47841634368. Its totient is φ = 3950456832.

The previous prime is 13897142681. The next prime is 13897142789. The reversal of 13897142784 is 48724179831.

13897142784 is a `hidden beast` number, since 138 + 9 + 7 + 1 + 427 + 84 = 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 self number, because there is not a number n which added to its sum of digits gives 13897142784.

It is not an unprimeable number, because it can be changed into a prime (13897142789) 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 39 ways as a sum of consecutive naturals, for example, 70543774 + ... + 70543970.

Almost surely, 2^13897142784 is an apocalyptic number.

13897142784 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 13897142784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23920817184).

13897142784 is an abundant number, since it is smaller than the sum of its proper divisors (33944491584).

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

13897142784 is an frugal number, since it uses more digits than its factorization.

13897142784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 209 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 13897142784 in words is "thirteen billion, eight hundred ninety-seven million, one hundred forty-two thousand, seven hundred eighty-four".