19671416013312 has 640 divisors, whose sum is σ = 68221624965120. Its totient is φ = 5480295874560.

The previous prime is 19671416013299. The next prime is 19671416013349. The reversal of 19671416013312 is 21331061417691.

19671416013312 is a `hidden beast` number, since 1 + 9 + 6 + 7 + 1 + 4 + 1 + 601 + 3 + 31 + 2 = 666.

It is a super-2 number, since 2×19671416013312² (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 63 ways as a sum of consecutive naturals, for example, 835966987 + ... + 835990517.

It is an arithmetic number, because the mean of its divisors is an integer number (106596289008).

Almost surely, 2^{19671416013312} is an apocalyptic number.

19671416013312 is a gapful number since it is divisible by the number (12) 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 19671416013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34110812482560).

19671416013312 is an abundant number, since it is smaller than the sum of its proper divisors (48550208951808).

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

19671416013312 is a wasteful number, since it uses less digits than its factorization.

19671416013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23781 (or 23759 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 19671416013312 in words is "nineteen trillion, six hundred seventy-one billion, four hundred sixteen million, thirteen thousand, three hundred twelve".