335468103540 has 192 divisors, whose sum is σ = 981226552320. Its totient is φ = 85580605440.

The previous prime is 335468103539. The next prime is 335468103571. The reversal of 335468103540 is 45301864533.

It is a super-2 number, since 2×335468103540² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 335468103492 and 335468103501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19677420 + ... + 19694460.

It is an arithmetic number, because the mean of its divisors is an integer number (5110554960).

Almost surely, 2^335468103540 is an apocalyptic number.

335468103540 is a gapful number since it is divisible by the number (30) 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 335468103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613276160).

335468103540 is an abundant number, since it is smaller than the sum of its proper divisors (645758448780).

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

335468103540 is a wasteful number, since it uses less digits than its factorization.

335468103540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17262 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 335468103540 in words is "three hundred thirty-five billion, four hundred sixty-eight million, one hundred three thousand, five hundred forty".