11848963186368 has 1344 divisors, whose sum is σ = 45031249536000. Its totient is φ = 3066542115840.

The previous prime is 11848963186351. The next prime is 11848963186393. The reversal of 11848963186368 is 86368136984811.

11848963186368 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 89 + 6 + 3 + 186 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 11848963186296 and 11848963186305.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42776040246 + ... + 42776040522.

It is an arithmetic number, because the mean of its divisors is an integer number (33505394000).

Almost surely, 2^{11848963186368} is an apocalyptic number.

11848963186368 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 11848963186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515624768000).

11848963186368 is an abundant number, since it is smaller than the sum of its proper divisors (33182286349632).

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

11848963186368 is an frugal number, since it uses more digits than its factorization.

11848963186368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 300 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 72.

The spelling of 11848963186368 in words is "eleven trillion, eight hundred forty-eight billion, nine hundred sixty-three million, one hundred eighty-six thousand, three hundred sixty-eight".