10598908401 has 81 divisors (see below), whose sum is σ = 16837350699. Its totient is φ = 6671224800.

The previous prime is 10598908399. The next prime is 10598908459. The reversal of 10598908401 is 10480989501.

The square root of 10598908401 is 102951.

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

10598908401 is a `hidden beast` number, since 10 + 598 + 9 + 0 + 8 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 510714801 + 10088193600 = 22599^2 + 100440^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 10598908401 - 2¹ = 10598908399 is a prime.

It is a super-2 number, since 2×10598908401² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10598908501) 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, 258509941 + ... + 258509981.

Almost surely, 2^10598908401 is an apocalyptic number.

10598908401 is the 102951-st square number.

10598908401 is the 51476-th centered octagonal number.

It is an amenable number.

10598908401 is a deficient number, since it is larger than the sum of its proper divisors (6238442298).

10598908401 is an frugal number, since it uses more digits than its factorization.

10598908401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 10598908401 in words is "ten billion, five hundred ninety-eight million, nine hundred eight thousand, four hundred one".