232101273484800 has 1680 divisors, whose sum is σ = 909228413871360. Its totient is φ = 58528212664320.

The previous prime is 232101273484793. The next prime is 232101273484891. The reversal of 232101273484800 is 8484372101232.

232101273484800 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 0 + 127 + 3 + 48 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 146621144809 + ... + 146621146391.

Almost surely, 2^{232101273484800} is an apocalyptic number.

232101273484800 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 232101273484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454614206935680).

232101273484800 is an abundant number, since it is smaller than the sum of its proper divisors (677127140386560).

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

232101273484800 is an equidigital number, since it uses as much as digits as its factorization.

232101273484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 232101273484800 in words is "two hundred thirty-two trillion, one hundred one billion, two hundred seventy-three million, four hundred eighty-four thousand, eight hundred".