11648097990 has 96 divisors (see below), whose sum is σ = 30949551360. Its totient is φ = 3038741568.

The previous prime is 11648097971. The next prime is 11648098001. The reversal of 11648097990 is 9979084611.

11648097990 is a `hidden beast` number, since 1 + 1 + 6 + 480 + 9 + 79 + 90 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 761841 + ... + 776979.

It is an arithmetic number, because the mean of its divisors is an integer number (322391160).

Almost surely, 2^11648097990 is an apocalyptic number.

11648097990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11648097990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15474775680).

11648097990 is an abundant number, since it is smaller than the sum of its proper divisors (19301453370).

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

11648097990 is a wasteful number, since it uses less digits than its factorization.

11648097990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15338 (or 15335 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 11648097990 in words is "eleven billion, six hundred forty-eight million, ninety-seven thousand, nine hundred ninety".