20414962656 has 384 divisors, whose sum is σ = 68677217280. Its totient is φ = 5912248320.

The previous prime is 20414962627. The next prime is 20414962681. The reversal of 20414962656 is 65626941402.

20414962656 is a `hidden beast` number, since 2 + 0 + 4 + 14 + 9 + 626 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17705376 + ... + 17706528.

It is an arithmetic number, because the mean of its divisors is an integer number (178846920).

Almost surely, 2^20414962656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414962656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34338608640).

20414962656 is an abundant number, since it is smaller than the sum of its proper divisors (48262254624).

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

20414962656 is a wasteful number, since it uses less digits than its factorization.

20414962656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20414962656 in words is "twenty billion, four hundred fourteen million, nine hundred sixty-two thousand, six hundred fifty-six".