190471144900 has 81 divisors (see below), whose sum is σ = 436411123239. Its totient is φ = 72147116160.

The previous prime is 190471144879. The next prime is 190471144907. The reversal of 190471144900 is 9441174091.

It is a happy number.

The square root of 190471144900 is 436430.

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 5564264836 + 184906880064 = 74594^2 + 430008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190471144907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 82920552 + ... + 82922848.

Almost surely, 2^190471144900 is an apocalyptic number.

190471144900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

190471144900 is the 436430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190471144900

190471144900 is an abundant number, since it is smaller than the sum of its proper divisors (245939978339).

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

190471144900 is an equidigital number, since it uses as much as digits as its factorization.

190471144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 190471144900 in words is "one hundred ninety billion, four hundred seventy-one million, one hundred forty-four thousand, nine hundred".