233148459456 has 224 divisors, whose sum is σ = 748511746560. Its totient is φ = 70576588800.

The previous prime is 233148459413. The next prime is 233148459491. The reversal of 233148459456 is 654954841332.

It is a happy number.

233148459456 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 48 + 4 + 594 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (12441600) is a multiple of the sum of its prime factors (12960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19591300 + ... + 19603196.

Almost surely, 2^233148459456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233148459456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374255873280).

233148459456 is an abundant number, since it is smaller than the sum of its proper divisors (515363287104).

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

233148459456 is a wasteful number, since it uses less digits than its factorization.

233148459456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960 (or 12944 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The spelling of 233148459456 in words is "two hundred thirty-three billion, one hundred forty-eight million, four hundred fifty-nine thousand, four hundred fifty-six".