10358349596721 has 27 divisors (see below), whose sum is σ = 17404959486681. Its totient is φ = 5919018291144.

The previous prime is 10358349596719. The next prime is 10358349596723. The reversal of 10358349596721 is 12769594385301.

The square root of 10358349596721 is 3218439.

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

10358349596721 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 8 + 34 + 9 + 596 + 7 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10358349596719) and next prime (10358349596723).

It is not a de Polignac number, because 10358349596721 - 2¹ = 10358349596719 is a prime.

It is a super-3 number, since 3×10358349596721³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10358349596723) 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, 67510590 + ... + 67663848.

It is a 1-persistent number, because it is pandigital, but 2⋅10358349596721 = 20716699193442 is not.

Almost surely, 2^{10358349596721} is an apocalyptic number.

10358349596721 is the 3218439-th square number.

10358349596721 is the 1609220-th centered octagonal number.

It is an amenable number.

10358349596721 is a deficient number, since it is larger than the sum of its proper divisors (7046609889960).

10358349596721 is an frugal number, since it uses more digits than its factorization.

10358349596721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306538 (or 153269 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 10358349596721 in words is "ten trillion, three hundred fifty-eight billion, three hundred forty-nine million, five hundred ninety-six thousand, seven hundred twenty-one".