20334016461984 has 384 divisors, whose sum is σ = 57876834355200. Its totient is φ = 6229897297920.

The previous prime is 20334016461929. The next prime is 20334016461991. The reversal of 20334016461984 is 48916461043302.

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, 12637672572 + ... + 12637674180.

It is an arithmetic number, because the mean of its divisors is an integer number (150720922800).

Almost surely, 2^{20334016461984} is an apocalyptic number.

20334016461984 is a gapful number since it is divisible by the number (24) 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 20334016461984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28938417177600).

20334016461984 is an abundant number, since it is smaller than the sum of its proper divisors (37542817893216).

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

20334016461984 is a wasteful number, since it uses less digits than its factorization.

20334016461984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 20334016461984 in words is "twenty trillion, three hundred thirty-four billion, sixteen million, four hundred sixty-one thousand, nine hundred eighty-four".