20214341574336 has 896 divisors, whose sum is σ = 78103551590400. Its totient is φ = 4981337948160.

The previous prime is 20214341574293. The next prime is 20214341574337. The reversal of 20214341574336 is 63347514341202.

20214341574336 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 4 + 3 + 41 + 574 + 3 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20214341574291 and 20214341574300.

It is not an unprimeable number, because it can be changed into a prime (20214341574337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 141294456 + ... + 141437448.

It is an arithmetic number, because the mean of its divisors is an integer number (87169142400).

Almost surely, 2^{20214341574336} is an apocalyptic number.

20214341574336 is a gapful number since it is divisible by the number (26) 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 20214341574336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39051775795200).

20214341574336 is an abundant number, since it is smaller than the sum of its proper divisors (57889210016064).

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

20214341574336 is a wasteful number, since it uses less digits than its factorization.

20214341574336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143094 (or 143078 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 20214341574336 in words is "twenty trillion, two hundred fourteen billion, three hundred forty-one million, five hundred seventy-four thousand, three hundred thirty-six".