298355458074961 has 81 divisors (see below), whose sum is σ = 379013486341329. Its totient is φ = 234125283748608.

The previous prime is 298355458074959. The next prime is 298355458074991. The reversal of 298355458074961 is 169470854553892.

It is a happy number.

The square root of 298355458074961 is 17272969.

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 138786518231361 + 159568939843600 = 11780769^2 + 12632060^2 .

It is not a de Polignac number, because 298355458074961 - 2¹ = 298355458074959 is a prime.

It is not an unprimeable number, because it can be changed into a prime (298355458074941) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 76052880546 + ... + 76052884468.

It is a 1-persistent number, because it is pandigital, but 2⋅298355458074961 = 596710916149922 is not.

Almost surely, 2^{298355458074961} is an apocalyptic number.

298355458074961 is the 17272969-th square number.

298355458074961 is the 8636485-th centered octagonal number.

It is an amenable number.

298355458074961 is a deficient number, since it is larger than the sum of its proper divisors (80658028266368).

298355458074961 is an frugal number, since it uses more digits than its factorization.

298355458074961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 76.

The spelling of 298355458074961 in words is "two hundred ninety-eight trillion, three hundred fifty-five billion, four hundred fifty-eight million, seventy-four thousand, nine hundred sixty-one".