354188365815168 has 1024 divisors, whose sum is σ = 1104082812518400. Its totient is φ = 111640235212800.

The previous prime is 354188365815149. The next prime is 354188365815187. The reversal of 354188365815168 is 861518563881453.

It is a happy number.

354188365815168 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 8 + 8 + 36 + 581 + 5 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (354188365815149) and next prime (354188365815187).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 354188365815096 and 354188365815105.

It is a congruent number.

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, 597282235480 + ... + 597282236072.

It is an arithmetic number, because the mean of its divisors is an integer number (1078205871600).

Almost surely, 2^{354188365815168} 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 354188365815168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552041406259200).

354188365815168 is an abundant number, since it is smaller than the sum of its proper divisors (749894446703232).

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

354188365815168 is a wasteful number, since it uses less digits than its factorization.

354188365815168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1270 counting only the distinct ones).

The product of its digits is 663552000, while the sum is 72.

The spelling of 354188365815168 in words is "three hundred fifty-four trillion, one hundred eighty-eight billion, three hundred sixty-five million, eight hundred fifteen thousand, one hundred sixty-eight".