902254916641 has 27 divisors (see below), whose sum is σ = 1009959130233. Its totient is φ = 805642587360.

The previous prime is 902254916609. The next prime is 902254916699. The reversal of 902254916641 is 146619452209.

It is a happy number.

The square root of 902254916641 is 949871.

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

It can be written as a sum of positive squares in 4 ways, for example, as 406188254241 + 496066662400 = 637329^2 + 704320^2 .

It is not a de Polignac number, because 902254916641 - 2⁵ = 902254916609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (902254916041) 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, 382796835 + ... + 382799191.

Almost surely, 2^902254916641 is an apocalyptic number.

902254916641 is the 949871-st square number.

902254916641 is the 474936-th centered octagonal number.

It is an amenable number.

902254916641 is a deficient number, since it is larger than the sum of its proper divisors (107704213592).

902254916641 is an frugal number, since it uses more digits than its factorization.

902254916641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 902254916641 by its sum of digits (49), we get a square (44210490915409 = 6649097²).

The spelling of 902254916641 in words is "nine hundred two billion, two hundred fifty-four million, nine hundred sixteen thousand, six hundred forty-one".