13872123384 has 64 divisors (see below), whose sum is σ = 39856147200. Its totient is φ = 3941313024.

The previous prime is 13872123329. The next prime is 13872123389. The reversal of 13872123384 is 48332127831.

It is a happy number.

It is a super-2 number, since 2×13872123384² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (13872123389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200577 + ... + 260720.

It is an arithmetic number, because the mean of its divisors is an integer number (622752300).

Almost surely, 2^13872123384 is an apocalyptic number.

13872123384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13872123384 is an abundant number, since it is smaller than the sum of its proper divisors (25984023816).

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

13872123384 is a wasteful number, since it uses less digits than its factorization.

13872123384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461492 (or 461488 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 13872123384 in words is "thirteen billion, eight hundred seventy-two million, one hundred twenty-three thousand, three hundred eighty-four".