21697845781248 has 1152 divisors, whose sum is σ = 80262523084800. Its totient is φ = 5629511467008.

The previous prime is 21697845781229. The next prime is 21697845781291. The reversal of 21697845781248 is 84218754879612.

21697845781248 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 7 + 8 + 4 + 578 + 1 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 127 ways as a sum of consecutive naturals, for example, 17540699286 + ... + 17540700522.

Almost surely, 2^{21697845781248} is an apocalyptic number.

21697845781248 is a gapful number since it is divisible by the number (28) 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 21697845781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40131261542400).

21697845781248 is an abundant number, since it is smaller than the sum of its proper divisors (58564677303552).

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

21697845781248 is a wasteful number, since it uses less digits than its factorization.

21697845781248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1694 counting only the distinct ones).

The product of its digits is 433520640, while the sum is 72.

The spelling of 21697845781248 in words is "twenty-one trillion, six hundred ninety-seven billion, eight hundred forty-five million, seven hundred eighty-one thousand, two hundred forty-eight".