13332393984 has 208 divisors, whose sum is σ = 43755928832. Its totient is φ = 3515940864.

The previous prime is 13332393901. The next prime is 13332393989. The reversal of 13332393984 is 48939323331.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (13332393989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112247 + ... + 1124169.

Almost surely, 2^13332393984 is an apocalyptic number.

13332393984 is a gapful number since it is divisible by the number (14) 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 13332393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21877964416).

13332393984 is an abundant number, since it is smaller than the sum of its proper divisors (30423534848).

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

13332393984 is a wasteful number, since it uses less digits than its factorization.

13332393984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11970 (or 11948 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 48.

The spelling of 13332393984 in words is "thirteen billion, three hundred thirty-two million, three hundred ninety-three thousand, nine hundred eighty-four".