356339826268020 has 576 divisors, whose sum is σ = 1400175924166656. Its totient is φ = 74185137653760.

The previous prime is 356339826267977. The next prime is 356339826268033. The reversal of 356339826268020 is 20862628933653.

356339826268020 is a `hidden beast` number, since 3 + 563 + 3 + 9 + 8 + 2 + 6 + 2 + 68 + 0 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7990759 + ... + 27866321.

It is an arithmetic number, because the mean of its divisors is an integer number (2430860979456).

Almost surely, 2^{356339826268020} is an apocalyptic number.

356339826268020 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 356339826268020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700087962083328).

356339826268020 is an abundant number, since it is smaller than the sum of its proper divisors (1043836097898636).

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

356339826268020 is a wasteful number, since it uses less digits than its factorization.

356339826268020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19875642 (or 19875628 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 356339826268020 in words is "three hundred fifty-six trillion, three hundred thirty-nine billion, eight hundred twenty-six million, two hundred sixty-eight thousand, twenty".