339021265968 has 800 divisors, whose sum is σ = 1263159152640. Its totient is φ = 85240512000.

The previous prime is 339021265967. The next prime is 339021265991. The reversal of 339021265968 is 869562120933.

339021265968 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 21 + 26 + 596 + 8 = 666.

It is a super-2 number, since 2×339021265968² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (339021265967) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 418028283 + ... + 418029093.

Almost surely, 2^339021265968 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 339021265968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631579576320).

339021265968 is an abundant number, since it is smaller than the sum of its proper divisors (924137886672).

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

339021265968 is a wasteful number, since it uses less digits than its factorization.

339021265968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 339021265968 in words is "three hundred thirty-nine billion, twenty-one million, two hundred sixty-five thousand, nine hundred sixty-eight".