231746952248064 has 720 divisors, whose sum is σ = 828025793844480. Its totient is φ = 63637579653120.

The previous prime is 231746952248051. The next prime is 231746952248099. The reversal of 231746952248064 is 460842259647132.

231746952248064 is a `hidden beast` number, since 2 + 3 + 1 + 7 + 4 + 6 + 9 + 522 + 48 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 231746952247992 and 231746952248010.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98515474 + ... + 100840430.

It is an arithmetic number, because the mean of its divisors is an integer number (1150035824784).

It is a 1-persistent number, because it is pandigital, but 2⋅231746952248064 = 463493904496128 is not.

Almost surely, 2^{231746952248064} is an apocalyptic number.

231746952248064 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 231746952248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414012896922240).

231746952248064 is an abundant number, since it is smaller than the sum of its proper divisors (596278841596416).

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

231746952248064 is a wasteful number, since it uses less digits than its factorization.

231746952248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325038 (or 2325015 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 231746952248064 in words is "two hundred thirty-one trillion, seven hundred forty-six billion, nine hundred fifty-two million, two hundred forty-eight thousand, sixty-four".