11225252024 has 192 divisors, whose sum is σ = 26682566400. Its totient is φ = 4402944000.

The previous prime is 11225251991. The next prime is 11225252029. The reversal of 11225252024 is 42025252211.

It is a junction number, because it is equal to n+sod(n) for n = 11225251984 and 11225252002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225252029) 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, 18677324 + ... + 18677924.

It is an arithmetic number, because the mean of its divisors is an integer number (138971700).

Almost surely, 2^11225252024 is an apocalyptic number.

11225252024 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 11225252024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13341283200).

11225252024 is an abundant number, since it is smaller than the sum of its proper divisors (15457314376).

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

11225252024 is a wasteful number, since it uses less digits than its factorization.

11225252024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 11225252024 in words is "eleven billion, two hundred twenty-five million, two hundred fifty-two thousand, twenty-four".