16947633478464 has 1344 divisors, whose sum is σ = 57632354404352. Its totient is φ = 4901791334400.

The previous prime is 16947633478423. The next prime is 16947633478513. The reversal of 16947633478464 is 46487433674961.

16947633478464 is a `hidden beast` number, since 1 + 6 + 9 + 4 + 7 + 63 + 34 + 78 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16947633478392 and 16947633478401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37084536924 + ... + 37084537380.

Almost surely, 2^{16947633478464} 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 16947633478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28816177202176).

16947633478464 is an abundant number, since it is smaller than the sum of its proper divisors (40684720925888).

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

16947633478464 is a wasteful number, since it uses less digits than its factorization.

16947633478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its digits is 1755758592, while the sum is 72.

The spelling of 16947633478464 in words is "sixteen trillion, nine hundred forty-seven billion, six hundred thirty-three million, four hundred seventy-eight thousand, four hundred sixty-four".