11358946368 has 252 divisors, whose sum is σ = 41318242992. Its totient is φ = 2950295040.

The previous prime is 11358946367. The next prime is 11358946369. The reversal of 11358946368 is 86364985311.

11358946368 is a `hidden beast` number, since 1 + 13 + 589 + 46 + 3 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11358946367) and next prime (11358946369).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×11358946368² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11358946367) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 292171 + ... + 328757.

Almost surely, 2^11358946368 is an apocalyptic number.

11358946368 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 11358946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20659121496).

11358946368 is an abundant number, since it is smaller than the sum of its proper divisors (29959296624).

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

11358946368 is a wasteful number, since it uses less digits than its factorization.

11358946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36630 (or 36610 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 11358946368 in words is "eleven billion, three hundred fifty-eight million, nine hundred forty-six thousand, three hundred sixty-eight".