11246525440 has 176 divisors, whose sum is σ = 28782326592. Its totient is φ = 4201906176.

The previous prime is 11246525431. The next prime is 11246525453. The reversal of 11246525440 is 4452564211.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 11246525396 and 11246525405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13664869 + ... + 13665691.

Almost surely, 2^11246525440 is an apocalyptic number.

11246525440 is a gapful number since it is divisible by the number (10) 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 11246525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391163296).

11246525440 is an abundant number, since it is smaller than the sum of its proper divisors (17535801152).

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

11246525440 is a wasteful number, since it uses less digits than its factorization.

11246525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 11246525440 in words is "eleven billion, two hundred forty-six million, five hundred twenty-five thousand, four hundred forty".