11630186064000 has 4608 divisors, whose sum is σ = 56372397120000. Its totient is φ = 2370274099200.

The previous prime is 11630186063957. The next prime is 11630186064031. The reversal of 11630186064000 is 46068103611.

11630186064000 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 0 + 1 + 8 + 6 + 0 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×11630186064000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 612115055991 + ... + 612115056009.

It is an arithmetic number, because the mean of its divisors is an integer number (12233593125).

Almost surely, 2^{11630186064000} is an apocalyptic number.

11630186064000 is a gapful number since it is divisible by the number (10) 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 11630186064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28186198560000).

11630186064000 is an abundant number, since it is smaller than the sum of its proper divisors (44742211056000).

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

11630186064000 is an frugal number, since it uses more digits than its factorization.

11630186064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11630186064000 in words is "eleven trillion, six hundred thirty billion, one hundred eighty-six million, sixty-four thousand".