339073633905696 has 48 divisors (see below), whose sum is σ = 988964765560800. Its totient is φ = 113024544634944.

The previous prime is 339073633905659. The next prime is 339073633905707. The reversal of 339073633905696 is 696509336370933.

339073633905696 is a `hidden beast` number, since 3 + 3 + 90 + 7 + 3 + 63 + 390 + 5 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×339073633905696² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196223166906 + ... + 196223168633.

It is an arithmetic number, because the mean of its divisors is an integer number (20603432615850).

Almost surely, 2^{339073633905696} is an apocalyptic number.

339073633905696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

339073633905696 is an abundant number, since it is smaller than the sum of its proper divisors (649891131655104).

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

339073633905696 is a wasteful number, since it uses less digits than its factorization.

339073633905696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392446335558 (or 392446335544 counting only the distinct ones).

The product of its (nonzero) digits is 1339231320, while the sum is 72.

The spelling of 339073633905696 in words is "three hundred thirty-nine trillion, seventy-three billion, six hundred thirty-three million, nine hundred five thousand, six hundred ninety-six".