11647226682000 has 1920 divisors, whose sum is σ = 52912203402240. Its totient is φ = 2410584883200.

The previous prime is 11647226681999. The next prime is 11647226682031. The reversal of 11647226682000 is 28662274611.

11647226682000 is a `hidden beast` number, since 1 + 164 + 7 + 226 + 68 + 200 + 0 = 666.

11647226682000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2343975516 + ... + 2343980484.

It is an arithmetic number, because the mean of its divisors is an integer number (27558439272).

Almost surely, 2^{11647226682000} is an apocalyptic number.

11647226682000 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 11647226682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26456101701120).

11647226682000 is an abundant number, since it is smaller than the sum of its proper divisors (41264976720240).

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

11647226682000 is a wasteful number, since it uses less digits than its factorization.

11647226682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11647226682000 in words is "eleven trillion, six hundred forty-seven billion, two hundred twenty-six million, six hundred eighty-two thousand".