890771653249 has 27 divisors (see below), whose sum is σ = 933785001057. Its totient is φ = 849720767784.

The previous prime is 890771653241. The next prime is 890771653253. The reversal of 890771653249 is 942356177098.

The square root of 890771653249 is 943807.

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

It is not a de Polignac number, because 890771653249 - 2³ = 890771653241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (890771653241) 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, 1907433714 + ... + 1907434180.

It is a 1-persistent number, because it is pandigital, but 2⋅890771653249 = 1781543306498 is not.

Almost surely, 2^890771653249 is an apocalyptic number.

890771653249 is the 943807-th square number.

890771653249 is the 471904-th centered octagonal number.

It is an amenable number.

890771653249 is a deficient number, since it is larger than the sum of its proper divisors (43013347808).

890771653249 is an frugal number, since it uses more digits than its factorization.

890771653249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 890771653249 in words is "eight hundred ninety billion, seven hundred seventy-one million, six hundred fifty-three thousand, two hundred forty-nine".