11654869248 has 576 divisors, whose sum is σ = 40689008640. Its totient is φ = 3251404800.

The previous prime is 11654869207. The next prime is 11654869297. The reversal of 11654869248 is 84296845611.

11654869248 is a `hidden beast` number, since 1 + 1 + 6 + 548 + 6 + 92 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 11654869194 and 11654869203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91770561 + ... + 91770687.

It is an arithmetic number, because the mean of its divisors is an integer number (70640640).

Almost surely, 2^11654869248 is an apocalyptic number.

11654869248 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 11654869248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20344504320).

11654869248 is an abundant number, since it is smaller than the sum of its proper divisors (29034139392).

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

11654869248 is a wasteful number, since it uses less digits than its factorization.

11654869248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 11654869248 in words is "eleven billion, six hundred fifty-four million, eight hundred sixty-nine thousand, two hundred forty-eight".