264401253616234 has 256 divisors, whose sum is σ = 517239066009600. Its totient is φ = 98994076646400.

The previous prime is 264401253616187. The next prime is 264401253616343. The reversal of 264401253616234 is 432616352104462.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20965916589 + ... + 20965929199.

It is an arithmetic number, because the mean of its divisors is an integer number (2020465101600).

Almost surely, 2^{264401253616234} is an apocalyptic number.

264401253616234 is a deficient number, since it is larger than the sum of its proper divisors (252837812393366).

264401253616234 is a wasteful number, since it uses less digits than its factorization.

264401253616234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

The spelling of 264401253616234 in words is "two hundred sixty-four trillion, four hundred one billion, two hundred fifty-three million, six hundred sixteen thousand, two hundred thirty-four".