11338776636100 has 81 divisors (see below), whose sum is σ = 24911304817287. Its totient is φ = 4479761470080.

The previous prime is 11338776636073. The next prime is 11338776636119. The reversal of 11338776636100 is 163667783311.

The square root of 11338776636100 is 3367310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 188146002564 + 11150630633536 = 433758^2 + 3339256^2 .

It is a Duffinian number.

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, 2794865272 + ... + 2794869328.

Almost surely, 2^{11338776636100} is an apocalyptic number.

11338776636100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11338776636100 is the 3367310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11338776636100

11338776636100 is an abundant number, since it is smaller than the sum of its proper divisors (13572528181187).

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

11338776636100 is an frugal number, since it uses more digits than its factorization.

11338776636100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8294 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 52.

The spelling of 11338776636100 in words is "eleven trillion, three hundred thirty-eight billion, seven hundred seventy-six million, six hundred thirty-six thousand, one hundred".