190916563600 has 135 divisors (see below), whose sum is σ = 533734105851. Its totient is φ = 65436134400.

The previous prime is 190916563577. The next prime is 190916563613. The reversal of 190916563600 is 6365619091.

The square root of 190916563600 is 436940.

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 117514582416 + 73401981184 = 342804^2 + 270928^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 61170040 + ... + 61173160.

Almost surely, 2^190916563600 is an apocalyptic number.

190916563600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

190916563600 is the 436940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190916563600

190916563600 is an abundant number, since it is smaller than the sum of its proper divisors (342817542251).

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

190916563600 is an frugal number, since it uses more digits than its factorization.

190916563600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 46.

The spelling of 190916563600 in words is "one hundred ninety billion, nine hundred sixteen million, five hundred sixty-three thousand, six hundred".