231948545633280 has 2112 divisors, whose sum is σ = 978380928645120. Its totient is φ = 49663586598912.

The previous prime is 231948545633269. The next prime is 231948545633341. The reversal of 231948545633280 is 82336545849132.

231948545633280 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 4 + 8 + 545 + 6 + 3 + 3 + 2 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137004456114 + ... + 137004457806.

It is an arithmetic number, because the mean of its divisors is an integer number (463248545760).

Almost surely, 2^{231948545633280} is an apocalyptic number.

231948545633280 is a gapful number since it is divisible by the number (20) 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 231948545633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489190464322560).

231948545633280 is an abundant number, since it is smaller than the sum of its proper divisors (746432383011840).

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

231948545633280 is a wasteful number, since it uses less digits than its factorization.

231948545633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 231948545633280 in words is "two hundred thirty-one trillion, nine hundred forty-eight billion, five hundred forty-five million, six hundred thirty-three thousand, two hundred eighty".