11345212032 has 512 divisors, whose sum is σ = 39551846400. Its totient is φ = 2795520000.

The previous prime is 11345211979. The next prime is 11345212051. The reversal of 11345212032 is 23021254311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11345211993 and 11345212011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86604607 + ... + 86604737.

It is an arithmetic number, because the mean of its divisors is an integer number (77249700).

Almost surely, 2^11345212032 is an apocalyptic number.

11345212032 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 11345212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19775923200).

11345212032 is an abundant number, since it is smaller than the sum of its proper divisors (28206634368).

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

11345212032 is a wasteful number, since it uses less digits than its factorization.

11345212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11345212032 its reverse (23021254311), we get a palindrome (34366466343).

The spelling of 11345212032 in words is "eleven billion, three hundred forty-five million, two hundred twelve thousand, thirty-two".