14368021920 has 768 divisors, whose sum is σ = 64099123200. Its totient is φ = 2926264320.

The previous prime is 14368021883. The next prime is 14368021931. The reversal of 14368021920 is 2912086341.

14368021920 is a `hidden beast` number, since 1 + 436 + 8 + 0 + 219 + 2 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 9766785 + ... + 9768255.

It is an arithmetic number, because the mean of its divisors is an integer number (83462400).

Almost surely, 2^14368021920 is an apocalyptic number.

14368021920 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 14368021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32049561600).

14368021920 is an abundant number, since it is smaller than the sum of its proper divisors (49731101280).

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

14368021920 is a wasteful number, since it uses less digits than its factorization.

14368021920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 143680 and 21920, that added together give a triangular number (165600 = T₅₇₅).

The spelling of 14368021920 in words is "fourteen billion, three hundred sixty-eight million, twenty-one thousand, nine hundred twenty".