14813015117824 has 585 divisors, whose sum is σ = 38445746985255. Its totient is φ = 5690018611200.

The previous prime is 14813015117729. The next prime is 14813015117867. The reversal of 14813015117824 is 42871151031841.

The square root of 14813015117824 is 3848768.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 208634015709 + ... + 208634015779.

Almost surely, 2^{14813015117824} is an apocalyptic number.

14813015117824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14813015117824 is the 3848768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14813015117824

14813015117824 is an abundant number, since it is smaller than the sum of its proper divisors (23632731867431).

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

14813015117824 is an frugal number, since it uses more digits than its factorization.

14813015117824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 46.

The spelling of 14813015117824 in words is "fourteen trillion, eight hundred thirteen billion, fifteen million, one hundred seventeen thousand, eight hundred twenty-four".