902422101681 has 45 divisors (see below), whose sum is σ = 1372065373371. Its totient is φ = 591087288816.

The previous prime is 902422101667. The next prime is 902422101733. The reversal of 902422101681 is 186101224209.

The square root of 902422101681 is 949959.

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

902422101681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 852684181281 + 49737920400 = 923409^2 + 223020^2 .

It is not a de Polignac number, because 902422101681 - 2⁵ = 902422101649 is a prime.

It is a super-2 number, since 2×902422101681² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (902422101631) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 504427335 + ... + 504429123.

Almost surely, 2^902422101681 is an apocalyptic number.

902422101681 is the 949959-th square number.

902422101681 is the 474980-th centered octagonal number.

It is an amenable number.

902422101681 is a deficient number, since it is larger than the sum of its proper divisors (469643271690).

902422101681 is an frugal number, since it uses more digits than its factorization.

902422101681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Multiplying 902422101681 by its sum of digits (36), we get a square (32487195660516 = 5699754²).

The spelling of 902422101681 in words is "nine hundred two billion, four hundred twenty-two million, one hundred one thousand, six hundred eighty-one".