11483265600 has 567 divisors, whose sum is σ = 44011411977. Its totient is φ = 2839311360.

The previous prime is 11483265593. The next prime is 11483265623. The reversal of 11483265600 is 656238411.

It is a happy number.

The square root of 11483265600 is 107160.

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

11483265600 is a `hidden beast` number, since 1 + 1 + 48 + 3 + 2 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4133975616 + 7349289984 = 64296^2 + 85728^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 244324777 + ... + 244324823.

Almost surely, 2^11483265600 is an apocalyptic number.

11483265600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11483265600 is the 107160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11483265600

11483265600 is an abundant number, since it is smaller than the sum of its proper divisors (32528146377).

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

11483265600 is a wasteful number, since it uses less digits than its factorization.

11483265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 11483265600 by its sum of digits (36), we get a square (413397561600 = 642960²).

11483265600 divided by its sum of digits (36) gives a square (318979600 = 17860²).

The spelling of 11483265600 in words is "eleven billion, four hundred eighty-three million, two hundred sixty-five thousand, six hundred".