11858338816 has 99 divisors (see below), whose sum is σ = 24593638513. Its totient is φ = 5714862080.

The previous prime is 11858338801. The next prime is 11858338819. The reversal of 11858338816 is 61883385811.

It is a happy number.

The square root of 11858338816 is 108896.

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., 571401216 + 11286937600 = 23904^2 + 106240^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11858338819) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142871511 + ... + 142871593.

Almost surely, 2^11858338816 is an apocalyptic number.

11858338816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11858338816 is the 108896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11858338816

11858338816 is an abundant number, since it is smaller than the sum of its proper divisors (12735299697).

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

11858338816 is an frugal number, since it uses more digits than its factorization.

11858338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 126 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 52.

It can be divided in two parts, 1185833 and 8816, that added together give a square (1194649 = 1093²).

The spelling of 11858338816 in words is "eleven billion, eight hundred fifty-eight million, three hundred thirty-eight thousand, eight hundred sixteen".