14534195833920 has 224 divisors, whose sum is σ = 52741723246848. Its totient is φ = 3321890537472.

The previous prime is 14534195833867. The next prime is 14534195833939. The reversal of 14534195833920 is 2933859143541.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×14534195833920² (a number of 27 digits) contains 22 as substring.

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, 121552084 + ... + 121671596.

Almost surely, 2^{14534195833920} is an apocalyptic number.

14534195833920 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 14534195833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26370861623424).

14534195833920 is an abundant number, since it is smaller than the sum of its proper divisors (38207527412928).

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

14534195833920 is a wasteful number, since it uses less digits than its factorization.

14534195833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137637 (or 137627 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 14534195833920 in words is "fourteen trillion, five hundred thirty-four billion, one hundred ninety-five million, eight hundred thirty-three thousand, nine hundred twenty".