21946528647936 has 144 divisors (see below), whose sum is σ = 68717378671200. Its totient is φ = 6885185421312.

The previous prime is 21946528647917. The next prime is 21946528647949. The reversal of 21946528647936 is 63974682564912.

21946528647936 is a `hidden beast` number, since 2 + 1 + 9 + 4 + 6 + 528 + 6 + 4 + 7 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93268801 + ... + 93503808.

It is an arithmetic number, because the mean of its divisors is an integer number (477204018550).

Almost surely, 2^{21946528647936} is an apocalyptic number.

It is an amenable number.

21946528647936 is an abundant number, since it is smaller than the sum of its proper divisors (46770850023264).

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

21946528647936 is a wasteful number, since it uses less digits than its factorization.

21946528647936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186772651 (or 186772631 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 21946528647936 in words is "twenty-one trillion, nine hundred forty-six billion, five hundred twenty-eight million, six hundred forty-seven thousand, nine hundred thirty-six".