268102671942 has 64 divisors (see below), whose sum is σ = 624924647424. Its totient is φ = 75100041120.

The previous prime is 268102671931. The next prime is 268102671979. The reversal of 268102671942 is 249176201862.

268102671942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 268102671891 and 268102671900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163123 + ... + 750209.

It is an arithmetic number, because the mean of its divisors is an integer number (9764447616).

Almost surely, 2^268102671942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268102671942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312462323712).

268102671942 is an abundant number, since it is smaller than the sum of its proper divisors (356821975482).

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

268102671942 is a wasteful number, since it uses less digits than its factorization.

268102671942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587313.

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 268102671942 in words is "two hundred sixty-eight billion, one hundred two million, six hundred seventy-one thousand, nine hundred forty-two".