20814964632 has 320 divisors, whose sum is σ = 75037501440. Its totient is φ = 5231692800.

The previous prime is 20814964631. The next prime is 20814964637. The reversal of 20814964632 is 23646941802.

20814964632 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 4 + 9 + 6 + 4 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20814964631) 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 79 ways as a sum of consecutive naturals, for example, 1540048 + ... + 1553504.

It is an arithmetic number, because the mean of its divisors is an integer number (234492192).

Almost surely, 2^20814964632 is an apocalyptic number.

20814964632 is a gapful number since it is divisible by the number (22) 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 20814964632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37518750720).

20814964632 is an abundant number, since it is smaller than the sum of its proper divisors (54222536808).

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

20814964632 is a wasteful number, since it uses less digits than its factorization.

20814964632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13524 (or 13511 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 20814964632 in words is "twenty billion, eight hundred fourteen million, nine hundred sixty-four thousand, six hundred thirty-two".