13640948377056 has 1152 divisors, whose sum is σ = 54902510208000. Its totient is φ = 3094036807680.

The previous prime is 13640948377031. The next prime is 13640948377061. The reversal of 13640948377056 is 65077384904631.

It is a happy number.

13640948377056 is a `hidden beast` number, since 1 + 36 + 4 + 0 + 9 + 483 + 7 + 70 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13640948376984 and 13640948377002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5351488870 + ... + 5351491418.

It is an arithmetic number, because the mean of its divisors is an integer number (47658429000).

Almost surely, 2^{13640948377056} is an apocalyptic number.

13640948377056 is a gapful number since it is divisible by the number (16) 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 13640948377056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27451255104000).

13640948377056 is an abundant number, since it is smaller than the sum of its proper divisors (41261561830944).

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

13640948377056 is a wasteful number, since it uses less digits than its factorization.

13640948377056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 13640948377056 in words is "thirteen trillion, six hundred forty billion, nine hundred forty-eight million, three hundred seventy-seven thousand, fifty-six".