335172088453664 has 768 divisors, whose sum is σ = 882535307673600. Its totient is φ = 124061414400000.

The previous prime is 335172088453651. The next prime is 335172088453679. The reversal of 335172088453664 is 466354880271533.

It is a super-2 number, since 2×335172088453664² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 335172088453664.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60929298914 + ... + 60929304414.

It is an arithmetic number, because the mean of its divisors is an integer number (1149134515200).

Almost surely, 2^{335172088453664} 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 335172088453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441267653836800).

335172088453664 is an abundant number, since it is smaller than the sum of its proper divisors (547363219219936).

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

335172088453664 is a wasteful number, since it uses less digits than its factorization.

335172088453664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 65.

The spelling of 335172088453664 in words is "three hundred thirty-five trillion, one hundred seventy-two billion, eighty-eight million, four hundred fifty-three thousand, six hundred sixty-four".