20234214733824 has 1536 divisors, whose sum is σ = 77350920192000. Its totient is φ = 5079803756544.

The previous prime is 20234214733787. The next prime is 20234214733849. The reversal of 20234214733824 is 42833741243202.

20234214733824 is a `hidden beast` number, since 2 + 0 + 234 + 21 + 47 + 338 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 20234214733824.

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, 41548695309 + ... + 41548695795.

It is an arithmetic number, because the mean of its divisors is an integer number (50358672000).

Almost surely, 2^{20234214733824} is an apocalyptic number.

20234214733824 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 20234214733824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38675460096000).

20234214733824 is an abundant number, since it is smaller than the sum of its proper divisors (57116705458176).

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

20234214733824 is a wasteful number, since it uses less digits than its factorization.

20234214733824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 20234214733824 in words is "twenty trillion, two hundred thirty-four billion, two hundred fourteen million, seven hundred thirty-three thousand, eight hundred twenty-four".