11023013952 has 280 divisors, whose sum is σ = 33950620440. Its totient is φ = 3533414400.

The previous prime is 11023013929. The next prime is 11023013957. The reversal of 11023013952 is 25931032011.

It can be written as a sum of positive squares in 4 ways, for example, as 4897760256 + 6125253696 = 69984^2 + 78264^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023013957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19372324 + ... + 19372892.

Almost surely, 2^11023013952 is an apocalyptic number.

11023013952 is a gapful number since it is divisible by the number (12) 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 11023013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16975310220).

11023013952 is an abundant number, since it is smaller than the sum of its proper divisors (22927606488).

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

11023013952 is a wasteful number, since it uses less digits than its factorization.

11023013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 11023013952 its reverse (25931032011), we get a palindrome (36954045963).

The spelling of 11023013952 in words is "eleven billion, twenty-three million, thirteen thousand, nine hundred fifty-two".