11251248624 has 400 divisors, whose sum is σ = 41920935936. Its totient is φ = 2827353600.

The previous prime is 11251248571. The next prime is 11251248653. The reversal of 11251248624 is 42684215211.

11251248624 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 1 + 24 + 8 + 624 = 666.

11251248624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3091734 + ... + 3095370.

Almost surely, 2^11251248624 is an apocalyptic number.

11251248624 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 11251248624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20960467968).

11251248624 is an abundant number, since it is smaller than the sum of its proper divisors (30669687312).

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

11251248624 is a wasteful number, since it uses less digits than its factorization.

11251248624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3691 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The spelling of 11251248624 in words is "eleven billion, two hundred fifty-one million, two hundred forty-eight thousand, six hundred twenty-four".