11252269644 has 216 divisors, whose sum is σ = 33967125360. Its totient is φ = 2888202240.

The previous prime is 11252269643. The next prime is 11252269663. The reversal of 11252269644 is 44696225211.

It is a super-2 number, since 2×11252269644² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11252269596 and 11252269605.

It is not an unprimeable number, because it can be changed into a prime (11252269643) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6331284 + ... + 6333060.

It is an arithmetic number, because the mean of its divisors is an integer number (157255210).

Almost surely, 2^11252269644 is an apocalyptic number.

11252269644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11252269644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16983562680).

11252269644 is an abundant number, since it is smaller than the sum of its proper divisors (22714855716).

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

11252269644 is a wasteful number, since it uses less digits than its factorization.

11252269644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1889 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 11252269644 in words is "eleven billion, two hundred fifty-two million, two hundred sixty-nine thousand, six hundred forty-four".