1891414116 has 72 divisors (see below), whose sum is σ = 4855719960. Its totient is φ = 620691456.

The previous prime is 1891414103. The next prime is 1891414141. The reversal of 1891414116 is 6114141981.

It can be written as a sum of positive squares in 4 ways, for example, as 503553600 + 1387860516 = 22440^2 + 37254^2 .

It is a super-2 number, since 2×1891414116² = 7154894716408122912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 822280 + ... + 824576.

It is an arithmetic number, because the mean of its divisors is an integer number (67440555).

Almost surely, 2^1891414116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1891414116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427859980).

1891414116 is an abundant number, since it is smaller than the sum of its proper divisors (2964305844).

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

1891414116 is a wasteful number, since it uses less digits than its factorization.

1891414116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2648 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1891414116 is about 43490.3910766505. The cubic root of 1891414116 is about 1236.6938715601.

The spelling of 1891414116 in words is "one billion, eight hundred ninety-one million, four hundred fourteen thousand, one hundred sixteen".