83884378384 has 45 divisors (see below), whose sum is σ = 165373341861. Its totient is φ = 41219856960.

The previous prime is 83884378381. The next prime is 83884378427. The reversal of 83884378384 is 48387348838.

The square root of 83884378384 is 289628.

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., 2727763984 + 81156614400 = 52228^2 + 284880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83884378381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70668639 + ... + 70669825.

Almost surely, 2^83884378384 is an apocalyptic number.

83884378384 is the 289628-th square number.

It is an amenable number.

83884378384 is a deficient number, since it is larger than the sum of its proper divisors (81488963477).

83884378384 is an frugal number, since it uses more digits than its factorization.

83884378384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 1250 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 64.

Multiplying 83884378384 by its sum of digits (64), we get a square (5368600216576 = 2317024²).

The spelling of 83884378384 in words is "eighty-three billion, eight hundred eighty-four million, three hundred seventy-eight thousand, three hundred eighty-four".