20633645344464 has 160 divisors (see below), whose sum is σ = 62747090000640. Its totient is φ = 6469482037248.

The previous prime is 20633645344381. The next prime is 20633645344469. The reversal of 20633645344464 is 46444354633602.

20633645344464 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 3 + 6 + 4 + 534 + 44 + 64 = 666.

It is a super-2 number, since 2×20633645344464² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20633645344464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20633645344469) 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 31 ways as a sum of consecutive naturals, for example, 11634957 + ... + 13290579.

It is an arithmetic number, because the mean of its divisors is an integer number (392169312504).

Almost surely, 2^{20633645344464} is an apocalyptic number.

20633645344464 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 20633645344464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31373545000320).

20633645344464 is an abundant number, since it is smaller than the sum of its proper divisors (42113444656176).

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

20633645344464 is a wasteful number, since it uses less digits than its factorization.

20633645344464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657354 (or 1657342 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 54.

The spelling of 20633645344464 in words is "twenty trillion, six hundred thirty-three billion, six hundred forty-five million, three hundred forty-four thousand, four hundred sixty-four".