21432991948416 has 256 divisors, whose sum is σ = 63629142076800. Its totient is φ = 7102435000320.

The previous prime is 21432991948399. The next prime is 21432991948429. The reversal of 21432991948416 is 61484919923412.

21432991948416 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 29 + 9 + 194 + 8 + 416 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403782870 + ... + 403835946.

Almost surely, 2^{21432991948416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21432991948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31814571038400).

21432991948416 is an abundant number, since it is smaller than the sum of its proper divisors (42196150128384).

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

21432991948416 is a wasteful number, since it uses less digits than its factorization.

21432991948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53784 (or 53766 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 21432991948416 in words is "twenty-one trillion, four hundred thirty-two billion, nine hundred ninety-one million, nine hundred forty-eight thousand, four hundred sixteen".