11364097752 has 192 divisors, whose sum is σ = 37099296000. Its totient is φ = 3069902592.

The previous prime is 11364097751. The next prime is 11364097777. The reversal of 11364097752 is 25779046311.

It is a super-2 number, since 2×11364097752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11364097698 and 11364097707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11364097751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7018399 + ... + 7020017.

It is an arithmetic number, because the mean of its divisors is an integer number (193225500).

Almost surely, 2^11364097752 is an apocalyptic number.

11364097752 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 11364097752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549648000).

11364097752 is an abundant number, since it is smaller than the sum of its proper divisors (25735198248).

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

11364097752 is a wasteful number, since it uses less digits than its factorization.

11364097752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 11364097752 in words is "eleven billion, three hundred sixty-four million, ninety-seven thousand, seven hundred fifty-two".