11348640900 has 243 divisors, whose sum is σ = 36804715311. Its totient is φ = 2924887680.

The previous prime is 11348640889. The next prime is 11348640913. The reversal of 11348640900 is 904684311.

The square root of 11348640900 is 106530.

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

11348640900 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 8 + 640 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85488516 + 11263152384 = 9246^2 + 106128^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 169382667 + ... + 169382733.

Almost surely, 2^11348640900 is an apocalyptic number.

11348640900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11348640900 is the 106530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11348640900

11348640900 is an abundant number, since it is smaller than the sum of its proper divisors (25456074411).

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

11348640900 is a wasteful number, since it uses less digits than its factorization.

11348640900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 11348640900 by its sum of digits (36), we get a square (408551072400 = 639180²).

11348640900 divided by its sum of digits (36) gives a square (315240025 = 17755²).

Multiplying 11348640900 by its product of nonzero digits (20736), we get a square (235325417702400 = 15340320²).

The spelling of 11348640900 in words is "eleven billion, three hundred forty-eight million, six hundred forty thousand, nine hundred".