356022816345 has 128 divisors (see below), whose sum is σ = 727501824000. Its totient is φ = 161821152000.

The previous prime is 356022816341. The next prime is 356022816419. The reversal of 356022816345 is 543618220653.

356022816345 is a `hidden beast` number, since 3 + 5 + 6 + 0 + 2 + 2 + 8 + 1 + 634 + 5 = 666.

It is not a de Polignac number, because 356022816345 - 2² = 356022816341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 356022816345.

It is not an unprimeable number, because it can be changed into a prime (356022816341) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 199005711 + ... + 199007499.

It is an arithmetic number, because the mean of its divisors is an integer number (5683608000).

Almost surely, 2^356022816345 is an apocalyptic number.

356022816345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

356022816345 is an abundant number, since it is smaller than the sum of its proper divisors (371479007655).

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

356022816345 is a wasteful number, since it uses less digits than its factorization.

356022816345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 356022816345 in words is "three hundred fifty-six billion, twenty-two million, eight hundred sixteen thousand, three hundred forty-five".