234096532488000 has 6720 divisors, whose sum is σ = 1170963322873344. Its totient is φ = 44986834944000.

The previous prime is 234096532487981. The next prime is 234096532488011. The reversal of 234096532488000 is 884235690432.

234096532488000 is a `hidden beast` number, since 2 + 3 + 40 + 96 + 5 + 32 + 488 + 0 + 0 + 0 = 666.

234096532488000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 7551501047985 + ... + 7551501048015.

Almost surely, 2^{234096532488000} is an apocalyptic number.

234096532488000 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 234096532488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585481661436672).

234096532488000 is an abundant number, since it is smaller than the sum of its proper divisors (936866790385344).

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

234096532488000 is an frugal number, since it uses more digits than its factorization.

234096532488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 234096532488000 in words is "two hundred thirty-four trillion, ninety-six billion, five hundred thirty-two million, four hundred eighty-eight thousand".