16734214656 has 320 divisors, whose sum is σ = 54163676160. Its totient is φ = 5078384640.

The previous prime is 16734214633. The next prime is 16734214681. The reversal of 16734214656 is 65641243761.

16734214656 is a `hidden beast` number, since 167 + 3 + 4 + 21 + 465 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7284100 + ... + 7286396.

It is an arithmetic number, because the mean of its divisors is an integer number (169261488).

Almost surely, 2^16734214656 is an apocalyptic number.

16734214656 is a gapful number since it is divisible by the number (16) 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 16734214656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081838080).

16734214656 is an abundant number, since it is smaller than the sum of its proper divisors (37429461504).

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

16734214656 is a wasteful number, since it uses less digits than its factorization.

16734214656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2350 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 16734214656 in words is "sixteen billion, seven hundred thirty-four million, two hundred fourteen thousand, six hundred fifty-six".