11647112146488 has 768 divisors, whose sum is σ = 41507815219200. Its totient is φ = 2959856640000.

The previous prime is 11647112146471. The next prime is 11647112146489. The reversal of 11647112146488 is 88464121174611.

11647112146488 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 7 + 1 + 12 + 146 + 488 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11647112146489) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1909046638 + ... + 1909052738.

It is an arithmetic number, because the mean of its divisors is an integer number (54046634400).

Almost surely, 2^{11647112146488} is an apocalyptic number.

11647112146488 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 11647112146488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20753907609600).

11647112146488 is an abundant number, since it is smaller than the sum of its proper divisors (29860703072712).

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

11647112146488 is a wasteful number, since it uses less digits than its factorization.

11647112146488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6421 (or 6398 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 11647112146488 in words is "eleven trillion, six hundred forty-seven billion, one hundred twelve million, one hundred forty-six thousand, four hundred eighty-eight".