10348117488801 has 45 divisors (see below), whose sum is σ = 15634413322801. Its totient is φ = 6595544106888.

The previous prime is 10348117488799. The next prime is 10348117488823. The reversal of 10348117488801 is 10888471184301.

The square root of 10348117488801 is 3216849.

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

10348117488801 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 81 + 1 + 7 + 488 + 80 + 1 = 666.

It is not a de Polignac number, because 10348117488801 - 2¹ = 10348117488799 is a prime.

It is a super-2 number, since 2×10348117488801² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10348117488881) 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, 5105138350 + ... + 5105140376.

Almost surely, 2^{10348117488801} is an apocalyptic number.

10348117488801 is the 3216849-th square number.

10348117488801 is the 1608425-th centered octagonal number.

It is an amenable number.

10348117488801 is a deficient number, since it is larger than the sum of its proper divisors (5286295834000).

10348117488801 is an frugal number, since it uses more digits than its factorization.

10348117488801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 10348117488801 in words is "ten trillion, three hundred forty-eight billion, one hundred seventeen million, four hundred eighty-eight thousand, eight hundred one".