11356738624 has 189 divisors, whose sum is σ = 28982777061. Its totient is φ = 4399127040.

The previous prime is 11356738621. The next prime is 11356738649. The reversal of 11356738624 is 42683765311.

The square root of 11356738624 is 106568.

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., 10330689600 + 1026049024 = 101640^2 + 32032^2 .

It is not an unprimeable number, because it can be changed into a prime (11356738621) 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, 65645802 + ... + 65645974.

Almost surely, 2^11356738624 is an apocalyptic number.

11356738624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11356738624 is the 106568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11356738624

11356738624 is an abundant number, since it is smaller than the sum of its proper divisors (17626038437).

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

11356738624 is an equidigital number, since it uses as much as digits as its factorization.

11356738624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 193 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 11356738624 in words is "eleven billion, three hundred fifty-six million, seven hundred thirty-eight thousand, six hundred twenty-four".