336145873728 has 336 divisors, whose sum is σ = 1056947279040. Its totient is φ = 93976436736.

The previous prime is 336145873709. The next prime is 336145873733. The reversal of 336145873728 is 827378541633.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×336145873728² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260779708 + ... + 260780996.

Almost surely, 2^336145873728 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 336145873728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528473639520).

336145873728 is an abundant number, since it is smaller than the sum of its proper divisors (720801405312).

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

336145873728 is a wasteful number, since it uses less digits than its factorization.

336145873728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1877 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 336145873728 in words is "three hundred thirty-six billion, one hundred forty-five million, eight hundred seventy-three thousand, seven hundred twenty-eight".