354662221221000 has 640 divisors, whose sum is σ = 1545651764616960. Its totient is φ = 73696044672000.

The previous prime is 354662221220779. The next prime is 354662221221013. The reversal of 354662221221000 is 122122266453.

354662221221000 is a `hidden beast` number, since 3 + 5 + 4 + 6 + 622 + 2 + 1 + 2 + 21 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×354662221221000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22195117 + ... + 34669116.

It is an arithmetic number, because the mean of its divisors is an integer number (2415080882214).

Almost surely, 2^{354662221221000} is an apocalyptic number.

354662221221000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

354662221221000 is an abundant number, since it is smaller than the sum of its proper divisors (1190989543395960).

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

354662221221000 is a wasteful number, since it uses less digits than its factorization.

354662221221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56864284 (or 56864261 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 354662221221000 its reverse (122122266453), we get a palindrome (354784343487453).

The spelling of 354662221221000 in words is "three hundred fifty-four trillion, six hundred sixty-two billion, two hundred twenty-one million, two hundred twenty-one thousand".