268429105919 has 32 divisors (see below), whose sum is σ = 308906063424. Its totient is φ = 231063552000.

The previous prime is 268429105877. The next prime is 268429105949. The reversal of 268429105919 is 919501924862.

It is a cyclic number.

It is not a de Polignac number, because 268429105919 - 2²⁰ = 268428057343 is a prime.

It is a super-2 number, since 2×268429105919² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268429105949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10693367 + ... + 10718439.

It is an arithmetic number, because the mean of its divisors is an integer number (9653314482).

Almost surely, 2^268429105919 is an apocalyptic number.

268429105919 is a deficient number, since it is larger than the sum of its proper divisors (40476957505).

268429105919 is a wasteful number, since it uses less digits than its factorization.

268429105919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25547.

The product of its (nonzero) digits is 2799360, while the sum is 56.

The spelling of 268429105919 in words is "two hundred sixty-eight billion, four hundred twenty-nine million, one hundred five thousand, nine hundred nineteen".