233754137346240 has 1344 divisors, whose sum is σ = 968681529833472. Its totient is φ = 50582568960000.

The previous prime is 233754137346229. The next prime is 233754137346283. The reversal of 233754137346240 is 42643731457332.

233754137346240 is a `hidden beast` number, since 2 + 3 + 3 + 7 + 5 + 4 + 1 + 3 + 7 + 3 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 42493023490 + ... + 42493028990.

It is an arithmetic number, because the mean of its divisors is an integer number (720745185888).

Almost surely, 2^{233754137346240} is an apocalyptic number.

233754137346240 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 233754137346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484340764916736).

233754137346240 is an abundant number, since it is smaller than the sum of its proper divisors (734927392487232).

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

233754137346240 is a wasteful number, since it uses less digits than its factorization.

233754137346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6478 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 54.

The spelling of 233754137346240 in words is "two hundred thirty-three trillion, seven hundred fifty-four billion, one hundred thirty-seven million, three hundred forty-six thousand, two hundred forty".