14509393920 has 1152 divisors, whose sum is σ = 64393056000. Its totient is φ = 3121348608.

The previous prime is 14509393891. The next prime is 14509393949. The reversal of 14509393920 is 2939390541.

14509393920 is a `hidden beast` number, since 1 + 450 + 93 + 93 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (14509393891) and next prime (14509393949).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 853493752 + ... + 853493768.

It is an arithmetic number, because the mean of its divisors is an integer number (55896750).

Almost surely, 2^14509393920 is an apocalyptic number.

14509393920 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 14509393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528000).

14509393920 is an abundant number, since it is smaller than the sum of its proper divisors (49883662080).

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

14509393920 is an frugal number, since it uses more digits than its factorization.

14509393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 14509393920 in words is "fourteen billion, five hundred nine million, three hundred ninety-three thousand, nine hundred twenty".