21683397745152 has 2560 divisors, whose sum is σ = 81655253729280. Its totient is φ = 5589762048000.

The previous prime is 21683397745129. The next prime is 21683397745159. The reversal of 21683397745152 is 25154779338612.

21683397745152 is a `hidden beast` number, since 2 + 1 + 6 + 83 + 39 + 7 + 7 + 4 + 515 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 21683397745152.

It is not an unprimeable number, because it can be changed into a prime (21683397745159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 165522120127 + ... + 165522120257.

It is an arithmetic number, because the mean of its divisors is an integer number (31896583488).

Almost surely, 2^{21683397745152} is an apocalyptic number.

21683397745152 is a gapful number since it is divisible by the number (22) 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 21683397745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40827626864640).

21683397745152 is an abundant number, since it is smaller than the sum of its proper divisors (59971855984128).

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

21683397745152 is a wasteful number, since it uses less digits than its factorization.

21683397745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 301 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 21683397745152 in words is "twenty-one trillion, six hundred eighty-three billion, three hundred ninety-seven million, seven hundred forty-five thousand, one hundred fifty-two".