21153001646466 has 192 divisors, whose sum is σ = 50891198563296. Its totient is φ = 6322434048000.

The previous prime is 21153001646423. The next prime is 21153001646477. The reversal of 21153001646466 is 66464610035112.

21153001646466 is a `hidden beast` number, since 2 + 1 + 1 + 530 + 0 + 16 + 46 + 4 + 66 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2845479791025 + 18307521855441 = 1686855^2 + 4278729^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92387320 + ... + 92615996.

Almost surely, 2^{21153001646466} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21153001646466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25445599281648).

21153001646466 is an abundant number, since it is smaller than the sum of its proper divisors (29738196916830).

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

21153001646466 is a wasteful number, since it uses less digits than its factorization.

21153001646466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228917 (or 228914 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 21153001646466 in words is "twenty-one trillion, one hundred fifty-three billion, one million, six hundred forty-six thousand, four hundred sixty-six".