12994656151680 has 1152 divisors, whose sum is σ = 53069665484160. Its totient is φ = 2920845312000.

The previous prime is 12994656151669. The next prime is 12994656151721. The reversal of 12994656151680 is 8615165649921.

12994656151680 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 4 + 6 + 5 + 615 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×12994656151680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12364087155 + ... + 12364088205.

It is an arithmetic number, because the mean of its divisors is an integer number (46067417955).

Almost surely, 2^{12994656151680} is an apocalyptic number.

12994656151680 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 12994656151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26534832742080).

12994656151680 is an abundant number, since it is smaller than the sum of its proper divisors (40075009332480).

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

12994656151680 is a wasteful number, since it uses less digits than its factorization.

12994656151680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 12994656151680 in words is "twelve trillion, nine hundred ninety-four billion, six hundred fifty-six million, one hundred fifty-one thousand, six hundred eighty".