12694456320 has 768 divisors, whose sum is σ = 52835328000. Its totient is φ = 2526806016.

The previous prime is 12694456319. The next prime is 12694456337. The reversal of 12694456320 is 2365449621.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×12694456320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53114761 + ... + 53114999.

It is an arithmetic number, because the mean of its divisors is an integer number (68796000).

Almost surely, 2^12694456320 is an apocalyptic number.

12694456320 is a gapful number since it is divisible by the number (10) 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 12694456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664000).

12694456320 is an abundant number, since it is smaller than the sum of its proper divisors (40140871680).

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

12694456320 is a wasteful number, since it uses less digits than its factorization.

12694456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 12694456320 in words is "twelve billion, six hundred ninety-four million, four hundred fifty-six thousand, three hundred twenty".