11292555648 has 128 divisors (see below), whose sum is σ = 32896419840. Its totient is φ = 3403827200.

The previous prime is 11292555641. The next prime is 11292555661. The reversal of 11292555648 is 84655529211.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 11292555597 and 11292555606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11292555641) 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 15 ways as a sum of consecutive naturals, for example, 799786 + ... + 813782.

It is an arithmetic number, because the mean of its divisors is an integer number (257003280).

Almost surely, 2^11292555648 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 11292555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448209920).

11292555648 is an abundant number, since it is smaller than the sum of its proper divisors (21603864192).

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

11292555648 is a wasteful number, since it uses less digits than its factorization.

11292555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14216 (or 14204 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The spelling of 11292555648 in words is "eleven billion, two hundred ninety-two million, five hundred fifty-five thousand, six hundred forty-eight".