1416177966 has 64 divisors (see below), whose sum is σ = 3323690496. Its totient is φ = 393830400.

The previous prime is 1416177949. The next prime is 1416178087. The reversal of 1416177966 is 6697716141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103161 + ... + 1104443.

It is an arithmetic number, because the mean of its divisors is an integer number (51932664).

Almost surely, 2^1416177966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416177966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661845248).

1416177966 is an abundant number, since it is smaller than the sum of its proper divisors (1907512530).

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

1416177966 is a wasteful number, since it uses less digits than its factorization.

1416177966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977.

The product of its digits is 381024, while the sum is 48.

The square root of 1416177966 is about 37632.1400667036. The cubic root of 1416177966 is about 1122.9815239229.

The spelling of 1416177966 in words is "one billion, four hundred sixteen million, one hundred seventy-seven thousand, nine hundred sixty-six".