13146496263978 has 256 divisors, whose sum is σ = 35179226726400. Its totient is φ = 3240475761600.

The previous prime is 13146496263973. The next prime is 13146496263997. The reversal of 13146496263978 is 87936269464131.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (13146496263973) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66026193 + ... + 66225003.

It is an arithmetic number, because the mean of its divisors is an integer number (137418854400).

Almost surely, 2^{13146496263978} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13146496263978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17589613363200).

13146496263978 is an abundant number, since it is smaller than the sum of its proper divisors (22032730462422).

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

13146496263978 is a wasteful number, since it uses less digits than its factorization.

13146496263978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198998 (or 198984 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 69.

The spelling of 13146496263978 in words is "thirteen trillion, one hundred forty-six billion, four hundred ninety-six million, two hundred sixty-three thousand, nine hundred seventy-eight".