12732317151840 has 2304 divisors, whose sum is σ = 57037849989120. Its totient is φ = 2635519057920.

The previous prime is 12732317151817. The next prime is 12732317151977. The reversal of 12732317151840 is 4815171323721.

12732317151840 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 23 + 1 + 71 + 518 + 40 = 666.

12732317151840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12732317151840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4542387879 + ... + 4542390681.

It is an arithmetic number, because the mean of its divisors is an integer number (24756011280).

Almost surely, 2^{12732317151840} is an apocalyptic number.

12732317151840 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 12732317151840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28518924994560).

12732317151840 is an abundant number, since it is smaller than the sum of its proper divisors (44305532837280).

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

12732317151840 is a wasteful number, since it uses less digits than its factorization.

12732317151840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12732317151840 in words is "twelve trillion, seven hundred thirty-two billion, three hundred seventeen million, one hundred fifty-one thousand, eight hundred forty".