20224643601624 has 512 divisors, whose sum is σ = 65287146700800. Its totient is φ = 5069055214080.

The previous prime is 20224643601599. The next prime is 20224643601683. The reversal of 20224643601624 is 42610634642202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 6086258827 + ... + 6086262149.

It is an arithmetic number, because the mean of its divisors is an integer number (127513958400).

Almost surely, 2^{20224643601624} is an apocalyptic number.

20224643601624 is a gapful number since it is divisible by the number (24) 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 20224643601624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32643573350400).

20224643601624 is an abundant number, since it is smaller than the sum of its proper divisors (45062503099176).

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

20224643601624 is a wasteful number, since it uses less digits than its factorization.

20224643601624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 20224643601624 in words is "twenty trillion, two hundred twenty-four billion, six hundred forty-three million, six hundred one thousand, six hundred twenty-four".