13640611359312 has 960 divisors, whose sum is σ = 48533000355840. Its totient is φ = 3489570201600.

The previous prime is 13640611359311. The next prime is 13640611359383. The reversal of 13640611359312 is 21395311604631.

13640611359312 is a `hidden beast` number, since 1 + 3 + 6 + 40 + 6 + 1 + 1 + 3 + 593 + 12 = 666.

It is a super-2 number, since 2×13640611359312² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13640611359311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4288150362 + ... + 4288153542.

It is an arithmetic number, because the mean of its divisors is an integer number (50555208704).

Almost surely, 2^{13640611359312} is an apocalyptic number.

13640611359312 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 13640611359312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24266500177920).

13640611359312 is an abundant number, since it is smaller than the sum of its proper divisors (34892388996528).

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

13640611359312 is a wasteful number, since it uses less digits than its factorization.

13640611359312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13640611359312 in words is "thirteen trillion, six hundred forty billion, six hundred eleven million, three hundred fifty-nine thousand, three hundred twelve".