233136302138880 has 3840 divisors, whose sum is σ = 991298792816640. Its totient is φ = 46352026828800.

The previous prime is 233136302138869. The next prime is 233136302138989. The reversal of 233136302138880 is 88831203631332.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×233136302138880² (a number of 30 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 478719305997 + ... + 478719306483.

It is an arithmetic number, because the mean of its divisors is an integer number (258150727296).

Almost surely, 2^{233136302138880} is an apocalyptic number.

233136302138880 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 233136302138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495649396408320).

233136302138880 is an abundant number, since it is smaller than the sum of its proper divisors (758162490677760).

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

233136302138880 is a wasteful number, since it uses less digits than its factorization.

233136302138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 233136302138880 in words is "two hundred thirty-three trillion, one hundred thirty-six billion, three hundred two million, one hundred thirty-eight thousand, eight hundred eighty".