11723830784064 has 567 divisors, whose sum is σ = 39708202183767. Its totient is φ = 3297566232576.

The previous prime is 11723830784059. The next prime is 11723830784087. The reversal of 11723830784064 is 46048703832711.

The square root of 11723830784064 is 3424008.

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

11723830784064 is a `hidden beast` number, since 1 + 1 + 7 + 238 + 307 + 8 + 40 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 411640294464 + 11312190489600 = 641592^2 + 3363360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11723830784064.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51195767502 + ... + 51195767730.

Almost surely, 2^{11723830784064} is an apocalyptic number.

11723830784064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11723830784064 is the 3424008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11723830784064

11723830784064 is an abundant number, since it is smaller than the sum of its proper divisors (27984371399703).

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

11723830784064 is an frugal number, since it uses more digits than its factorization.

11723830784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 11723830784064 in words is "eleven trillion, seven hundred twenty-three billion, eight hundred thirty million, seven hundred eighty-four thousand, sixty-four".