231614679106944 has 1152 divisors, whose sum is σ = 799273500648480. Its totient is φ = 64155418951680.

The previous prime is 231614679106907. The next prime is 231614679106949. The reversal of 231614679106944 is 449601976416132.

It is a happy number.

231614679106944 is a `hidden beast` number, since 2 + 3 + 1 + 61 + 467 + 9 + 10 + 69 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231614679106949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 305963908614 + ... + 305963909370.

Almost surely, 2^{231614679106944} is an apocalyptic number.

231614679106944 is a gapful number since it is divisible by the number (24) 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 231614679106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399636750324240).

231614679106944 is an abundant number, since it is smaller than the sum of its proper divisors (567658821541536).

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

231614679106944 is a wasteful number, since it uses less digits than its factorization.

231614679106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 231614679106944 in words is "two hundred thirty-one trillion, six hundred fourteen billion, six hundred seventy-nine million, one hundred six thousand, nine hundred forty-four".