13923301920 has 384 divisors, whose sum is σ = 50999300352. Its totient is φ = 3155558400.

The previous prime is 13923301907. The next prime is 13923301921. The reversal of 13923301920 is 2910332931.

13923301920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13923301921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16246132 + ... + 16246988.

It is an arithmetic number, because the mean of its divisors is an integer number (132810678).

Almost surely, 2^13923301920 is an apocalyptic number.

13923301920 is a gapful number since it is divisible by the number (10) 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 13923301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25499650176).

13923301920 is an abundant number, since it is smaller than the sum of its proper divisors (37075998432).

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

13923301920 is a wasteful number, since it uses less digits than its factorization.

13923301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The spelling of 13923301920 in words is "thirteen billion, nine hundred twenty-three million, three hundred one thousand, nine hundred twenty".