13820363964 has 192 divisors, whose sum is σ = 39942604800. Its totient is φ = 4131578880.

The previous prime is 13820363941. The next prime is 13820363971. The reversal of 13820363964 is 46936302831.

13820363964 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 0 + 3 + 639 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11355484 + ... + 11356700.

It is an arithmetic number, because the mean of its divisors is an integer number (208034400).

Almost surely, 2^13820363964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13820363964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971302400).

13820363964 is an abundant number, since it is smaller than the sum of its proper divisors (26122240836).

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

13820363964 is a wasteful number, since it uses less digits than its factorization.

13820363964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13820363964 in words is "thirteen billion, eight hundred twenty million, three hundred sixty-three thousand, nine hundred sixty-four".