13846019608576 has 117 divisors (see below), whose sum is σ = 28246692504331. Its totient is φ = 6786195193856.

The previous prime is 13846019608511. The next prime is 13846019608601. The reversal of 13846019608576 is 67580691064831.

The square root of 13846019608576 is 3721024.

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

It can be written as a sum of positive squares in 4 ways, for example, as 476286976 + 13845543321600 = 21824^2 + 3720960^2 .

It is a super-3 number, since 3×13846019608576³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12621712860 + ... + 12621713956.

Almost surely, 2^{13846019608576} is an apocalyptic number.

13846019608576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13846019608576 is the 3721024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13846019608576

13846019608576 is an abundant number, since it is smaller than the sum of its proper divisors (14400672895755).

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

13846019608576 is an frugal number, since it uses more digits than its factorization.

13846019608576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

Multiplying 13846019608576 by its sum of digits (64), we get a square (886145254948864 = 29768192²).

13846019608576 divided by its sum of digits (64) gives a square (216344056384 = 465128²).

The spelling of 13846019608576 in words is "thirteen trillion, eight hundred forty-six billion, nineteen million, six hundred eight thousand, five hundred seventy-six".