22721564114820 has 480 divisors, whose sum is σ = 73318403321856. Its totient is φ = 5888453760000.

The previous prime is 22721564114789. The next prime is 22721564114833. The reversal of 22721564114820 is 2841146512722.

22721564114820 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 1 + 564 + 1 + 1 + 4 + 82 + 0 = 666.

It is a super-3 number, since 3×22721564114820³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3150081534 + ... + 3150088746.

Almost surely, 2^{22721564114820} is an apocalyptic number.

22721564114820 is a gapful number since it is divisible by the number (20) 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 22721564114820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36659201660928).

22721564114820 is an abundant number, since it is smaller than the sum of its proper divisors (50596839207036).

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

22721564114820 is a wasteful number, since it uses less digits than its factorization.

22721564114820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 22721564114820 in words is "twenty-two trillion, seven hundred twenty-one billion, five hundred sixty-four million, one hundred fourteen thousand, eight hundred twenty".