335105673056 has 192 divisors, whose sum is σ = 870062570496. Its totient is φ = 123171840000.

The previous prime is 335105673037. The next prime is 335105673143. The reversal of 335105673056 is 650376501533.

It is a super-2 number, since 2×335105673056² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 335105672998 and 335105673016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4096556 + ... + 4177556.

It is an arithmetic number, because the mean of its divisors is an integer number (4531575888).

Almost surely, 2^335105673056 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 335105673056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435031285248).

335105673056 is an abundant number, since it is smaller than the sum of its proper divisors (534956897440).

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

335105673056 is a wasteful number, since it uses less digits than its factorization.

335105673056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81125 (or 81117 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 44.

The spelling of 335105673056 in words is "three hundred thirty-five billion, one hundred five million, six hundred seventy-three thousand, fifty-six".