335904497897472 has 832 divisors, whose sum is σ = 1210952407449600. Its totient is φ = 89822008442880.

The previous prime is 335904497897417. The next prime is 335904497897477. The reversal of 335904497897472 is 274798794409533.

335904497897472 is a `hidden beast` number, since 3 + 3 + 5 + 9 + 0 + 4 + 497 + 89 + 7 + 47 + 2 = 666.

It is a super-2 number, since 2×335904497897472² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335904497897391 and 335904497897400.

It is not an unprimeable number, because it can be changed into a prime (335904497897477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355648897 + ... + 2355791487.

Almost surely, 2^{335904497897472} is an apocalyptic number.

335904497897472 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 335904497897472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605476203724800).

335904497897472 is an abundant number, since it is smaller than the sum of its proper divisors (875047909552128).

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

335904497897472 is a wasteful number, since it uses less digits than its factorization.

335904497897472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142827 (or 142799 counting only the distinct ones).

The product of its (nonzero) digits is 11522165760, while the sum is 81.

The spelling of 335904497897472 in words is "three hundred thirty-five trillion, nine hundred four billion, four hundred ninety-seven million, eight hundred ninety-seven thousand, four hundred seventy-two".