1891461092416 has 189 divisors, whose sum is σ = 4482735714597. Its totient is φ = 789534520320.

The previous prime is 1891461092401. The next prime is 1891461092441. The reversal of 1891461092416 is 6142901641981.

It is a happy number.

The square root of 1891461092416 is 1375304.

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., 91141194816 + 1800319897600 = 301896^2 + 1341760^2 .

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, 3157697685 + ... + 3157698283.

Almost surely, 2^{1891461092416} is an apocalyptic number.

1891461092416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1891461092416 is the 1375304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1891461092416

1891461092416 is an abundant number, since it is smaller than the sum of its proper divisors (2591274622181).

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

1891461092416 is an frugal number, since it uses more digits than its factorization.

1891461092416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The spelling of 1891461092416 in words is "one trillion, eight hundred ninety-one billion, four hundred sixty-one million, ninety-two thousand, four hundred sixteen".