190409751601216 has 189 divisors, whose sum is σ = 441808494202047. Its totient is φ = 81183919837440.

The previous prime is 190409751601163. The next prime is 190409751601261. The reversal of 190409751601216 is 612106157904091.

The square root of 190409751601216 is 13798904.

It is a perfect power (a square), and thus also a powerful 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, 184684530621 + ... + 184684531651.

Almost surely, 2^{190409751601216} is an apocalyptic number.

190409751601216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

190409751601216 is the 13798904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190409751601216

190409751601216 is an abundant number, since it is smaller than the sum of its proper divisors (251398742600831).

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

190409751601216 is an frugal number, since it uses more digits than its factorization.

190409751601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 52.

The spelling of 190409751601216 in words is "one hundred ninety trillion, four hundred nine billion, seven hundred fifty-one million, six hundred one thousand, two hundred sixteen".