20364501414114 has 192 divisors, whose sum is σ = 52833305161728. Its totient is φ = 5586945062400.

The previous prime is 20364501414091. The next prime is 20364501414121. The reversal of 20364501414114 is 41141410546302.

20364501414114 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 4 + 501 + 4 + 141 + 1 + 4 = 666.

It is a super-2 number, since 2×20364501414114² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417563359 + ... + 417612125.

It is an arithmetic number, because the mean of its divisors is an integer number (275173464384).

Almost surely, 2^{20364501414114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20364501414114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26416652580864).

20364501414114 is an abundant number, since it is smaller than the sum of its proper divisors (32468803747614).

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

20364501414114 is a wasteful number, since it uses less digits than its factorization.

20364501414114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51913 (or 51910 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20364501414114 in words is "twenty trillion, three hundred sixty-four billion, five hundred one million, four hundred fourteen thousand, one hundred fourteen".