13355220384 has 480 divisors, whose sum is σ = 45774590400. Its totient is φ = 3777269760.

The previous prime is 13355220323. The next prime is 13355220397. The reversal of 13355220384 is 48302255331.

13355220384 is a `hidden beast` number, since 1 + 3 + 3 + 55 + 220 + 384 = 666.

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 79 ways as a sum of consecutive naturals, for example, 48213654 + ... + 48213930.

It is an arithmetic number, because the mean of its divisors is an integer number (95363730).

Almost surely, 2^13355220384 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 13355220384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22887295200).

13355220384 is an abundant number, since it is smaller than the sum of its proper divisors (32419370016).

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

13355220384 is a wasteful number, since it uses less digits than its factorization.

13355220384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13355220384 in words is "thirteen billion, three hundred fifty-five million, two hundred twenty thousand, three hundred eighty-four".