11233252225104 has 320 divisors, whose sum is σ = 36131807416320. Its totient is φ = 2928150466560.

The previous prime is 11233252225073. The next prime is 11233252225109. The reversal of 11233252225104 is 40152225233211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233252225109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1402224459 + ... + 1402232469.

It is an arithmetic number, because the mean of its divisors is an integer number (112911898176).

Almost surely, 2^{11233252225104} is an apocalyptic number.

11233252225104 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 11233252225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065903708160).

11233252225104 is an abundant number, since it is smaller than the sum of its proper divisors (24898555191216).

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

11233252225104 is a wasteful number, since it uses less digits than its factorization.

11233252225104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11738 (or 11732 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 11233252225104 its reverse (40152225233211), we get a palindrome (51385477458315).

The spelling of 11233252225104 in words is "eleven trillion, two hundred thirty-three billion, two hundred fifty-two million, two hundred twenty-five thousand, one hundred four".