12952682313984 has 576 divisors, whose sum is σ = 45788697722880. Its totient is φ = 3531327528960.

The previous prime is 12952682313983. The next prime is 12952682314049. The reversal of 12952682313984 is 48931328625921.

12952682313984 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 2 + 6 + 8 + 231 + 398 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (12952682313983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468488449 + ... + 468516095.

It is an arithmetic number, because the mean of its divisors is an integer number (79494266880).

Almost surely, 2^{12952682313984} is an apocalyptic number.

12952682313984 is a gapful number since it is divisible by the number (14) 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 12952682313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22894348861440).

12952682313984 is an abundant number, since it is smaller than the sum of its proper divisors (32836015408896).

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

12952682313984 is a wasteful number, since it uses less digits than its factorization.

12952682313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28123 (or 28103 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 12952682313984 in words is "twelve trillion, nine hundred fifty-two billion, six hundred eighty-two million, three hundred thirteen thousand, nine hundred eighty-four".