14453761920 has 256 divisors, whose sum is σ = 49853422080. Its totient is φ = 3540787200.

The previous prime is 14453761897. The next prime is 14453761943. The reversal of 14453761920 is 2916735441.

It is an interprime number because it is at equal distance from previous prime (14453761897) and next prime (14453761943).

It is a super-2 number, since 2×14453761920² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5664645 + ... + 5667195.

It is an arithmetic number, because the mean of its divisors is an integer number (194739930).

Almost surely, 2^14453761920 is an apocalyptic number.

14453761920 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 14453761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24926711040).

14453761920 is an abundant number, since it is smaller than the sum of its proper divisors (35399660160).

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

14453761920 is a wasteful number, since it uses less digits than its factorization.

14453761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 14453761920 in words is "fourteen billion, four hundred fifty-three million, seven hundred sixty-one thousand, nine hundred twenty".