13820356224 has 48 divisors (see below), whose sum is σ = 39769517970. Its totient is φ = 4606785024.

The previous prime is 13820356213. The next prime is 13820356259. The reversal of 13820356224 is 42265302831.

13820356224 is a `hidden beast` number, since 1 + 3 + 8 + 20 + 3 + 5 + 622 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13588098624 + 232257600 = 116568^2 + 15240^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5997267 + ... + 5999570.

Almost surely, 2^13820356224 is an apocalyptic number.

It is an amenable number.

13820356224 is an abundant number, since it is smaller than the sum of its proper divisors (25949161746).

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

13820356224 is a wasteful number, since it uses less digits than its factorization.

13820356224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11996857 (or 11996842 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13820356224 in words is "thirteen billion, eight hundred twenty million, three hundred fifty-six thousand, two hundred twenty-four".