11375715648 has 224 divisors, whose sum is σ = 35121299328. Its totient is φ = 3211264000.

The previous prime is 11375715647. The next prime is 11375715671. The reversal of 11375715648 is 84651757311.

It is a Cunningham number, because it is equal to 106657²-1.

It is a super-3 number, since 3×11375715648³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11375715597 and 11375715606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11375715647) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3624736 + ... + 3627872.

Almost surely, 2^11375715648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11375715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17560649664).

11375715648 is an abundant number, since it is smaller than the sum of its proper divisors (23745583680).

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

11375715648 is a wasteful number, since it uses less digits than its factorization.

11375715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3271 counting only the distinct ones).

The product of its digits is 705600, while the sum is 48.

The spelling of 11375715648 in words is "eleven billion, three hundred seventy-five million, seven hundred fifteen thousand, six hundred forty-eight".