335120578816 has 81 divisors (see below), whose sum is σ = 677716315731. Its totient is φ = 165388271616.

The previous prime is 335120578799. The next prime is 335120578867. The reversal of 335120578816 is 618875021533.

The square root of 335120578816 is 578896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18524416 + 335102054400 = 4304^2 + 578880^2 .

It is a super-2 number, since 2×335120578816² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 335120578816.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 898446406 + ... + 898446778.

Almost surely, 2^335120578816 is an apocalyptic number.

335120578816 is the 578896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 335120578816

335120578816 is an abundant number, since it is smaller than the sum of its proper divisors (342595736915).

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

335120578816 is an frugal number, since it uses more digits than its factorization.

335120578816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 335120578816 by its sum of digits (49), we get a square (16420908361984 = 4052272²).

It can be divided in two parts, 335120 and 578816, that added together give a square (913936 = 956²).

The spelling of 335120578816 in words is "three hundred thirty-five billion, one hundred twenty million, five hundred seventy-eight thousand, eight hundred sixteen".