20314433133024 has 192 divisors, whose sum is σ = 54458085084480. Its totient is φ = 6628737024000.

The previous prime is 20314433133013. The next prime is 20314433133031. The reversal of 20314433133024 is 42033133441302.

It is a happy number.

It is a super-2 number, since 2×20314433133024² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3004645804 + ... + 3004652564.

It is an arithmetic number, because the mean of its divisors is an integer number (283635859815).

Almost surely, 2^{20314433133024} is an apocalyptic number.

20314433133024 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 20314433133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27229042542240).

20314433133024 is an abundant number, since it is smaller than the sum of its proper divisors (34143651951456).

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

20314433133024 is a wasteful number, since it uses less digits than its factorization.

20314433133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9205 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 20314433133024 its reverse (42033133441302), we get a palindrome (62347566574326).

The spelling of 20314433133024 in words is "twenty trillion, three hundred fourteen billion, four hundred thirty-three million, one hundred thirty-three thousand, twenty-four".