21818824626816 has 1024 divisors, whose sum is σ = 78348533760000. Its totient is φ = 5843436318720.

The previous prime is 21818824626799. The next prime is 21818824626827. The reversal of 21818824626816 is 61862642881812.

21818824626816 is a `hidden beast` number, since 2 + 1 + 8 + 18 + 82 + 462 + 6 + 81 + 6 = 666.

It is a super-2 number, since 2×21818824626816² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6110002311 + ... + 6110005881.

It is an arithmetic number, because the mean of its divisors is an integer number (76512240000).

Almost surely, 2^{21818824626816} 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 21818824626816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39174266880000).

21818824626816 is an abundant number, since it is smaller than the sum of its proper divisors (56529709133184).

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

21818824626816 is a wasteful number, since it uses less digits than its factorization.

21818824626816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3842 (or 3824 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 63.

The spelling of 21818824626816 in words is "twenty-one trillion, eight hundred eighteen billion, eight hundred twenty-four million, six hundred twenty-six thousand, eight hundred sixteen".