354256226688 has 384 divisors, whose sum is σ = 1181869920000. Its totient is φ = 93189132288.

The previous prime is 354256226683. The next prime is 354256226711. The reversal of 354256226688 is 886622652453.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×354256226688³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354256226683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107381263 + ... + 107384561.

It is an arithmetic number, because the mean of its divisors is an integer number (3077786250).

Almost surely, 2^354256226688 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 354256226688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590934960000).

354256226688 is an abundant number, since it is smaller than the sum of its proper divisors (827613693312).

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

354256226688 is a wasteful number, since it uses less digits than its factorization.

354256226688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3763 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 57.

The spelling of 354256226688 in words is "three hundred fifty-four billion, two hundred fifty-six million, two hundred twenty-six thousand, six hundred eighty-eight".