233448745596000 has 1152 divisors, whose sum is σ = 885537400849920. Its totient is φ = 53574428160000.

The previous prime is 233448745595977. The next prime is 233448745596023. The reversal of 233448745596000 is 695547844332.

It is an interprime number because it is at equal distance from previous prime (233448745595977) and next prime (233448745596023).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 51341265727 + ... + 51341270273.

It is an arithmetic number, because the mean of its divisors is an integer number (768695660460).

Almost surely, 2^{233448745596000} is an apocalyptic number.

233448745596000 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 233448745596000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442768700424960).

233448745596000 is an abundant number, since it is smaller than the sum of its proper divisors (652088655253920).

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

233448745596000 is a wasteful number, since it uses less digits than its factorization.

233448745596000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6477 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 60.

The spelling of 233448745596000 in words is "two hundred thirty-three trillion, four hundred forty-eight billion, seven hundred forty-five million, five hundred ninety-six thousand".