20140890614208 has 672 divisors, whose sum is σ = 79191803658240. Its totient is φ = 4736288194560.

The previous prime is 20140890614177. The next prime is 20140890614267. The reversal of 20140890614208 is 80241609804102.

20140890614208 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 0 + 8 + 9 + 0 + 614 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

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, 16335553 + ... + 17525183.

It is an arithmetic number, because the mean of its divisors is an integer number (117844945920).

Almost surely, 2^{20140890614208} is an apocalyptic number.

20140890614208 is a gapful number since it is divisible by the number (28) 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 20140890614208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39595901829120).

20140890614208 is an abundant number, since it is smaller than the sum of its proper divisors (59050913044032).

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

20140890614208 is a wasteful number, since it uses less digits than its factorization.

20140890614208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189705 (or 1189692 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20140890614208 in words is "twenty trillion, one hundred forty billion, eight hundred ninety million, six hundred fourteen thousand, two hundred eight".