11234616868864 has 51 divisors (see below), whose sum is σ = 22470778554753. Its totient is φ = 5616879403008.

The previous prime is 11234616868859. The next prime is 11234616868961. The reversal of 11234616868864 is 46886861643211.

The square root of 11234616868864 is 3351808.

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

It can be written as a sum of positive squares in only one way, i.e., 10150086246400 + 1084530622464 = 3185920^2 + 1041408^2 .

It is a super-3 number, since 3×11234616868864³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11234616868796 and 11234616868805.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 858056302 + ... + 858069394.

Almost surely, 2^{11234616868864} is an apocalyptic number.

11234616868864 is the 3351808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11234616868864

11234616868864 is an abundant number, since it is smaller than the sum of its proper divisors (11236161685889).

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

11234616868864 is an frugal number, since it uses more digits than its factorization.

11234616868864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26218 (or 13095 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 64.

Multiplying 11234616868864 by its sum of digits (64), we get a square (719015479607296 = 26814464²).

11234616868864 divided by its sum of digits (64) gives a square (175540888576 = 418976²).

The spelling of 11234616868864 in words is "eleven trillion, two hundred thirty-four billion, six hundred sixteen million, eight hundred sixty-eight thousand, eight hundred sixty-four".