13863123072 has 72 divisors (see below), whose sum is σ = 39904083765. Its totient is φ = 4619708928.

The previous prime is 13863123047. The next prime is 13863123091. The reversal of 13863123072 is 27032136831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13863123072 is a `hidden beast` number, since 1 + 38 + 6 + 312 + 307 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9220608576 + 4642514496 = 96024^2 + 68136^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=83256.

It is a super-3 number, since 3×13863123072³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3994554 + ... + 3998022.

Almost surely, 2^13863123072 is an apocalyptic number.

13863123072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13863123072 is an abundant number, since it is smaller than the sum of its proper divisors (26040960693).

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

13863123072 is an frugal number, since it uses more digits than its factorization.

13863123072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13863123072 in words is "thirteen billion, eight hundred sixty-three million, one hundred twenty-three thousand, seventy-two".