11247875136 has 147 divisors (see below), whose sum is σ = 33532989703. Its totient is φ = 3741655680.

The previous prime is 11247875101. The next prime is 11247875137. The reversal of 11247875136 is 63157874211.

The square root of 11247875136 is 106056.

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

11247875136 is a `hidden beast` number, since 1 + 12 + 47 + 87 + 513 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11247875091 and 11247875100.

It is not an unprimeable number, because it can be changed into a prime (11247875137) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 22907851 + ... + 22908341.

Almost surely, 2^11247875136 is an apocalyptic number.

11247875136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11247875136 is the 106056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11247875136

11247875136 is an abundant number, since it is smaller than the sum of its proper divisors (22285114567).

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

11247875136 is an frugal number, since it uses more digits than its factorization.

11247875136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 496 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 11247875136 in words is "eleven billion, two hundred forty-seven million, eight hundred seventy-five thousand, one hundred thirty-six".