11757393648 has 1120 divisors, whose sum is σ = 49181852160. Its totient is φ = 2620200960.

The previous prime is 11757393631. The next prime is 11757393671. The reversal of 11757393648 is 84639375711.

11757393648 is a `hidden beast` number, since 1 + 1 + 7 + 573 + 9 + 3 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3810240) is a multiple of the sum of its prime divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 11757393594 and 11757393603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 221837590 + ... + 221837642.

It is an arithmetic number, because the mean of its divisors is an integer number (43912368).

Almost surely, 2^11757393648 is an apocalyptic number.

11757393648 is a gapful number since it is divisible by the number (18) 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 11757393648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24590926080).

11757393648 is an abundant number, since it is smaller than the sum of its proper divisors (37424458512).

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

11757393648 is a wasteful number, since it uses less digits than its factorization.

11757393648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

It can be divided in two parts, 11757393 and 648, that added together give a square (11758041 = 3429²).

The spelling of 11757393648 in words is "eleven billion, seven hundred fifty-seven million, three hundred ninety-three thousand, six hundred forty-eight".