11914566048 has 648 divisors, whose sum is σ = 44857010016. Its totient is φ = 3048503040.

The previous prime is 11914566047. The next prime is 11914566077. The reversal of 11914566048 is 84066541911.

11914566048 is a `hidden beast` number, since 1 + 191 + 456 + 6 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×11914566048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11914565994 and 11914566012.

It is not an unprimeable number, because it can be changed into a prime (11914566043) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 177829311 + ... + 177829377.

Almost surely, 2^11914566048 is an apocalyptic number.

11914566048 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 11914566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22428505008).

11914566048 is an abundant number, since it is smaller than the sum of its proper divisors (32942443968).

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

11914566048 is an frugal number, since it uses more digits than its factorization.

11914566048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 119145 and 66048, that added together give a cube (185193 = 57³).

The spelling of 11914566048 in words is "eleven billion, nine hundred fourteen million, five hundred sixty-six thousand, forty-eight".