335116092672 has 720 divisors, whose sum is σ = 1091707921920. Its totient is φ = 101896704000.

The previous prime is 335116092643. The next prime is 335116092683. The reversal of 335116092672 is 276290611533.

335116092672 is a `hidden beast` number, since 3 + 3 + 5 + 11 + 609 + 26 + 7 + 2 = 666.

It is a super-2 number, since 2×335116092672² (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 79 ways as a sum of consecutive naturals, for example, 2219311797 + ... + 2219311947.

Almost surely, 2^335116092672 is an apocalyptic number.

335116092672 is a gapful number since it is divisible by the number (32) 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 335116092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545853960960).

335116092672 is an abundant number, since it is smaller than the sum of its proper divisors (756591829248).

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

335116092672 is a wasteful number, since it uses less digits than its factorization.

335116092672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 335116092672 in words is "three hundred thirty-five billion, one hundred sixteen million, ninety-two thousand, six hundred seventy-two".