231987566564208 has 1440 divisors, whose sum is σ = 873838182776832. Its totient is φ = 55881272217600.

The previous prime is 231987566564207. The next prime is 231987566564297. The reversal of 231987566564208 is 802465665789132.

231987566564208 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 8 + 7 + 56 + 6 + 564 + 2 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231987566564207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40621178473 + ... + 40621184183.

It is a 1-persistent number, because it is pandigital, but 2⋅231987566564208 = 463975133128416 is not.

Almost surely, 2^{231987566564208} is an apocalyptic number.

231987566564208 is a gapful number since it is divisible by the number (28) 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 231987566564208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436919091388416).

231987566564208 is an abundant number, since it is smaller than the sum of its proper divisors (641850616212624).

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

231987566564208 is a wasteful number, since it uses less digits than its factorization.

231987566564208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6091 (or 6063 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 231987566564208 in words is "two hundred thirty-one trillion, nine hundred eighty-seven billion, five hundred sixty-six million, five hundred sixty-four thousand, two hundred eight".