12942653472 has 768 divisors, whose sum is σ = 48771072000. Its totient is φ = 3254473728.

The previous prime is 12942653461. The next prime is 12942653489. The reversal of 12942653472 is 27435624921.

12942653472 is a `hidden beast` number, since 1 + 2 + 9 + 42 + 6 + 534 + 72 = 666.

Its product of digits (725760) is a multiple of the sum of its prime factors (210).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155935543 + ... + 155935625.

It is an arithmetic number, because the mean of its divisors is an integer number (63504000).

Almost surely, 2^12942653472 is an apocalyptic number.

12942653472 is a gapful number since it is divisible by the number (12) 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 12942653472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536000).

12942653472 is an abundant number, since it is smaller than the sum of its proper divisors (35828418528).

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

12942653472 is a wasteful number, since it uses less digits than its factorization.

12942653472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 12942653472 in words is "twelve billion, nine hundred forty-two million, six hundred fifty-three thousand, four hundred seventy-two".