233954081344 has 63 divisors (see below), whose sum is σ = 469603701507. Its totient is φ = 115643996544.

The previous prime is 233954081329. The next prime is 233954081351. The reversal of 233954081344 is 443180459332.

The square root of 233954081344 is 483688.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233954081294 and 233954081303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 398558619 + ... + 398559205.

Almost surely, 2^233954081344 is an apocalyptic number.

233954081344 is the 483688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233954081344

233954081344 is an abundant number, since it is smaller than the sum of its proper divisors (235649620163).

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

233954081344 is an frugal number, since it uses more digits than its factorization.

233954081344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 233954081344 in words is "two hundred thirty-three billion, nine hundred fifty-four million, eighty-one thousand, three hundred forty-four".