916965201889 has 27 divisors (see below), whose sum is σ = 1014816688977. Its totient is φ = 827926261800.

The previous prime is 916965201839. The next prime is 916965201907. The reversal of 916965201889 is 988102569619.

The square root of 916965201889 is 957583.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 916965201889 - 2¹⁵ = 916965169121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 916965201889.

It is not an unprimeable number, because it can be changed into a prime (916965201839) 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, 2770287454 + ... + 2770287784.

Almost surely, 2^916965201889 is an apocalyptic number.

916965201889 is the 957583-rd square number.

916965201889 is the 478792-nd centered octagonal number.

It is an amenable number.

916965201889 is a deficient number, since it is larger than the sum of its proper divisors (97851487088).

916965201889 is an frugal number, since it uses more digits than its factorization.

916965201889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 64.

Multiplying 916965201889 by its sum of digits (64), we get a square (58685772920896 = 7660664²).

The spelling of 916965201889 in words is "nine hundred sixteen billion, nine hundred sixty-five million, two hundred one thousand, eight hundred eighty-nine".