1294101079968 has 192 divisors, whose sum is σ = 3627321384960. Its totient is φ = 403242624000.

The previous prime is 1294101079919. The next prime is 1294101079993. The reversal of 1294101079968 is 8699701014921.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15263293 + ... + 15347843.

It is an arithmetic number, because the mean of its divisors is an integer number (18892298880).

Almost surely, 2^{1294101079968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294101079968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813660692480).

1294101079968 is an abundant number, since it is smaller than the sum of its proper divisors (2333220304992).

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

1294101079968 is a wasteful number, since it uses less digits than its factorization.

1294101079968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84771 (or 84763 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 1294101079968 in words is "one trillion, two hundred ninety-four billion, one hundred one million, seventy-nine thousand, nine hundred sixty-eight".