384109894756 has 27 divisors (see below), whose sum is σ = 781955663769. Its totient is φ = 164614807728.

The previous prime is 384109894739. The next prime is 384109894771. The reversal of 384109894756 is 657498901483.

The square root of 384109894756 is 619766.

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

It can be written as a sum of positive squares in only one way, i.e., 378266821156 + 5843073600 = 615034^2 + 76440^2 .

It is a super-2 number, since 2×384109894756² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8654590 + ... + 8698858.

Almost surely, 2^384109894756 is an apocalyptic number.

384109894756 is the 619766-th square number.

It is an amenable number.

384109894756 is an abundant number, since it is smaller than the sum of its proper divisors (397845769013).

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

384109894756 is an frugal number, since it uses more digits than its factorization.

384109894756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88556 (or 44278 counting only the distinct ones).

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

Multiplying 384109894756 by its sum of digits (64), we get a square (24583033264384 = 4958128²).

The spelling of 384109894756 in words is "three hundred eighty-four billion, one hundred nine million, eight hundred ninety-four thousand, seven hundred fifty-six".