336834089856 has 192 divisors, whose sum is σ = 1065722112000. Its totient is φ = 101266744320.

The previous prime is 336834089849. The next prime is 336834089857. The reversal of 336834089856 is 658980438633.

336834089856 is a `hidden beast` number, since 33 + 68 + 3 + 408 + 98 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×336834089856² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 336834089793 and 336834089802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336834089857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1504695 + ... + 1713993.

It is an arithmetic number, because the mean of its divisors is an integer number (5550636000).

Almost surely, 2^336834089856 is an apocalyptic number.

336834089856 is a gapful number since it is divisible by the number (36) 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 336834089856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532861056000).

336834089856 is an abundant number, since it is smaller than the sum of its proper divisors (728888022144).

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

336834089856 is a wasteful number, since it uses less digits than its factorization.

336834089856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209457 (or 209442 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 336834089856 in words is "three hundred thirty-six billion, eight hundred thirty-four million, eighty-nine thousand, eight hundred fifty-six".