10538411749264 has 135 divisors (see below), whose sum is σ = 23895819144561. Its totient is φ = 4489232280960.

The previous prime is 10538411749181. The next prime is 10538411749303. The reversal of 10538411749264 is 46294711483501.

It is a happy number.

The square root of 10538411749264 is 3246292.

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

10538411749264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 693375966864 + 9845035782400 = 832692^2 + 3137680^2 .

It is a super-2 number, since 2×10538411749264² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24451071129 + ... + 24451071559.

It is a 2-persistent number, because it is pandigital, and so is 2⋅10538411749264 = 21076823498528, but 3⋅10538411749264 = 31615235247792 is not.

Almost surely, 2^{10538411749264} is an apocalyptic number.

10538411749264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10538411749264 is the 3246292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10538411749264

10538411749264 is an abundant number, since it is smaller than the sum of its proper divisors (13357407395297).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10538411749264 is an frugal number, since it uses more digits than its factorization.

10538411749264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The spelling of 10538411749264 in words is "ten trillion, five hundred thirty-eight billion, four hundred eleven million, seven hundred forty-nine thousand, two hundred sixty-four".