84844038400 has 243 divisors, whose sum is σ = 231528396729. Its totient is φ = 30759168000.

The previous prime is 84844038341. The next prime is 84844038437. The reversal of 84844038400 is 483044848.

The square root of 84844038400 is 291280.

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., 30543853824 + 54300184576 = 174768^2 + 233024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256326235 + ... + 256326565.

Almost surely, 2^84844038400 is an apocalyptic number.

84844038400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84844038400 is the 291280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84844038400

84844038400 is an abundant number, since it is smaller than the sum of its proper divisors (146684358329).

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

84844038400 is an equidigital number, since it uses as much as digits as its factorization.

84844038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 43.

The spelling of 84844038400 in words is "eighty-four billion, eight hundred forty-four million, thirty-eight thousand, four hundred".