1268978016 has 48 divisors (see below), whose sum is σ = 3342992688. Its totient is φ = 421478400.

The previous prime is 1268977999. The next prime is 1268978017. The reversal of 1268978016 is 6108798621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1268978016² = 3220610410182592512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1268978017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3456 + ... + 50496.

It is an arithmetic number, because the mean of its divisors is an integer number (69645681).

Almost surely, 2^1268978016 is an apocalyptic number.

1268978016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1268978016 is an abundant number, since it is smaller than the sum of its proper divisors (2074014672).

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

1268978016 is a wasteful number, since it uses less digits than its factorization.

1268978016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47335 (or 47327 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 1268978016 is about 35622.7176953135. The cubic root of 1268978016 is about 1082.6415721196.

The spelling of 1268978016 in words is "one billion, two hundred sixty-eight million, nine hundred seventy-eight thousand, sixteen".