231211669104 has 320 divisors, whose sum is σ = 778283520000. Its totient is φ = 65072802816.

The previous prime is 231211669103. The next prime is 231211669121. The reversal of 231211669104 is 401966112132.

It is a happy number.

231211669104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231211669103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3057057 + ... + 3131775.

It is an arithmetic number, because the mean of its divisors is an integer number (2432136000).

Almost surely, 2^231211669104 is an apocalyptic number.

231211669104 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 231211669104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389141760000).

231211669104 is an abundant number, since it is smaller than the sum of its proper divisors (547071850896).

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

231211669104 is a wasteful number, since it uses less digits than its factorization.

231211669104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74797 (or 74785 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 231211669104 in words is "two hundred thirty-one billion, two hundred eleven million, six hundred sixty-nine thousand, one hundred four".