116704224400 has 405 divisors, whose sum is σ = 316676449323. Its totient is φ = 41322355200.

The previous prime is 116704224383. The next prime is 116704224421. The reversal of 116704224400 is 4422407611.

The square root of 116704224400 is 341620.

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 1604162704 + 115100061696 = 40052^2 + 339264^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 3764652385 + ... + 3764652415.

Almost surely, 2^116704224400 is an apocalyptic number.

116704224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116704224400 is the 341620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116704224400

116704224400 is an abundant number, since it is smaller than the sum of its proper divisors (199972224923).

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

116704224400 is a wasteful number, since it uses less digits than its factorization.

116704224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The spelling of 116704224400 in words is "one hundred sixteen billion, seven hundred four million, two hundred twenty-four thousand, four hundred".