368258408143340 has 576 divisors, whose sum is σ = 963825473278080. Its totient is φ = 117248278118400.

The previous prime is 368258408143309. The next prime is 368258408143399. The reversal of 368258408143340 is 43341804852863.

It is a super-2 number, since 2×368258408143340² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (59) 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 368258408143340.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96833657879 + ... + 96833661681.

It is an arithmetic number, because the mean of its divisors is an integer number (1673308113330).

Almost surely, 2^{368258408143340} 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 368258408143340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481912736639040).

368258408143340 is an abundant number, since it is smaller than the sum of its proper divisors (595567065134740).

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

368258408143340 is a wasteful number, since it uses less digits than its factorization.

368258408143340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5954 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 59.

The spelling of 368258408143340 in words is "three hundred sixty-eight trillion, two hundred fifty-eight billion, four hundred eight million, one hundred forty-three thousand, three hundred forty".