354312165760 has 512 divisors, whose sum is σ = 1027535662080. Its totient is φ = 114303467520.

The previous prime is 354312165743. The next prime is 354312165761. The reversal of 354312165760 is 67561213453.

It is a super-2 number, since 2×354312165760² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354312165761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 677460859 + ... + 677461381.

It is an arithmetic number, because the mean of its divisors is an integer number (2006905590).

Almost surely, 2^354312165760 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 354312165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513767831040).

354312165760 is an abundant number, since it is smaller than the sum of its proper divisors (673223496320).

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

354312165760 is a wasteful number, since it uses less digits than its factorization.

354312165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 354312165760 in words is "three hundred fifty-four billion, three hundred twelve million, one hundred sixty-five thousand, seven hundred sixty".