11257844472 has 192 divisors, whose sum is σ = 35662848000. Its totient is φ = 3206952000.

The previous prime is 11257844471. The next prime is 11257844473. The reversal of 11257844472 is 27444875211.

11257844472 is a `hidden beast` number, since 1 + 1 + 2 + 578 + 4 + 4 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (11257844471) and next prime (11257844473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11257844471) 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, 14990097 + ... + 14990847.

It is an arithmetic number, because the mean of its divisors is an integer number (185744000).

Almost surely, 2^11257844472 is an apocalyptic number.

11257844472 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 11257844472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831424000).

11257844472 is an abundant number, since it is smaller than the sum of its proper divisors (24405003528).

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

11257844472 is a wasteful number, since it uses less digits than its factorization.

11257844472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1370 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

It can be divided in two parts, 1125784 and 4472, that added together give a triangular number (1130256 = T₁₅₀₃).

The spelling of 11257844472 in words is "eleven billion, two hundred fifty-seven million, eight hundred forty-four thousand, four hundred seventy-two".