26322348341961 has 405 divisors, whose sum is σ = 49269637235511. Its totient is φ = 13963253169600.

The previous prime is 26322348341867. The next prime is 26322348341969. The reversal of 26322348341961 is 16914384322362.

The square root of 26322348341961 is 5130531.

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

26322348341961 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 234 + 8 + 341 + 9 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23553598772025 + 2768749569936 = 4853205^2 + 1663956^2 .

It is not a de Polignac number, because 26322348341961 - 2¹⁷ = 26322348210889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 26322348341898 and 26322348341907.

It is not an unprimeable number, because it can be changed into a prime (26322348341969) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 370737300556 + ... + 370737300626.

Almost surely, 2^{26322348341961} is an apocalyptic number.

26322348341961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

26322348341961 is the 5130531-st square number.

26322348341961 is the 2565266-th centered octagonal number.

It is an amenable number.

26322348341961 is a deficient number, since it is larger than the sum of its proper divisors (22947288893550).

26322348341961 is an frugal number, since it uses more digits than its factorization.

26322348341961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 149 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 26322348341961 in words is "twenty-six trillion, three hundred twenty-two billion, three hundred forty-eight million, three hundred forty-one thousand, nine hundred sixty-one".