335425363116516 has 240 divisors, whose sum is σ = 930396261619440. Its totient is φ = 105187748843520.

The previous prime is 335425363116511. The next prime is 335425363116541. The reversal of 335425363116516 is 615611363524533.

335425363116516 is a `hidden beast` number, since 3 + 3 + 5 + 4 + 2 + 5 + 3 + 6 + 3 + 116 + 516 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 844708046400 + 334580655070116 = 919080^2 + 18291546^2 .

It is a super-2 number, since 2×335425363116516² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (335425363116511) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306486856 + ... + 307579328.

It is an arithmetic number, because the mean of its divisors is an integer number (3876651090081).

Almost surely, 2^{335425363116516} is an apocalyptic number.

335425363116516 is a gapful number since it is divisible by the number (36) 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 335425363116516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465198130809720).

335425363116516 is an abundant number, since it is smaller than the sum of its proper divisors (594970898502924).

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

335425363116516 is a wasteful number, since it uses less digits than its factorization.

335425363116516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093356 (or 1093345 counting only the distinct ones).

The product of its digits is 17496000, while the sum is 54.

The spelling of 335425363116516 in words is "three hundred thirty-five trillion, four hundred twenty-five billion, three hundred sixty-three million, one hundred sixteen thousand, five hundred sixteen".