233112153004000 has 384 divisors, whose sum is σ = 581540227107840. Its totient is φ = 91827530496000.

The previous prime is 233112153003971. The next prime is 233112153004039. The reversal of 233112153004000 is 400351211332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71660666374 + ... + 71660669626.

It is an arithmetic number, because the mean of its divisors is an integer number (1514427674760).

Almost surely, 2^{233112153004000} is an apocalyptic number.

233112153004000 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 233112153004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290770113553920).

233112153004000 is an abundant number, since it is smaller than the sum of its proper divisors (348428074103840).

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

233112153004000 is a wasteful number, since it uses less digits than its factorization.

233112153004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 233112153004000 in words is "two hundred thirty-three trillion, one hundred twelve billion, one hundred fifty-three million, four thousand".