12719379456 has 440 divisors, whose sum is σ = 45732927680. Its totient is φ = 3439853568.

The previous prime is 12719379443. The next prime is 12719379473. The reversal of 12719379456 is 65497391721.

It is a super-2 number, since 2×12719379456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11030976 + ... + 11032128.

It is an arithmetic number, because the mean of its divisors is an integer number (103938472).

Almost surely, 2^12719379456 is an apocalyptic number.

12719379456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12719379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22866463840).

12719379456 is an abundant number, since it is smaller than the sum of its proper divisors (33013548224).

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

12719379456 is a wasteful number, since it uses less digits than its factorization.

12719379456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1184 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The spelling of 12719379456 in words is "twelve billion, seven hundred nineteen million, three hundred seventy-nine thousand, four hundred fifty-six".