354022668881280 has 3072 divisors, whose sum is σ = 1524849821614080. Its totient is φ = 73940475248640.

The previous prime is 354022668881243. The next prime is 354022668881309. The reversal of 354022668881280 is 82188866220453.

It is a happy number.

354022668881280 is a `hidden beast` number, since 3 + 5 + 402 + 2 + 6 + 68 + 88 + 12 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 764627794329 + ... + 764627794791.

It is an arithmetic number, because the mean of its divisors is an integer number (496370384640).

Almost surely, 2^{354022668881280} is an apocalyptic number.

354022668881280 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 354022668881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762424910807040).

354022668881280 is an abundant number, since it is smaller than the sum of its proper divisors (1170827152732800).

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

354022668881280 is a wasteful number, since it uses less digits than its factorization.

354022668881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 354022668881280 in words is "three hundred fifty-four trillion, twenty-two billion, six hundred sixty-eight million, eight hundred eighty-one thousand, two hundred eighty".