356856949512 has 480 divisors, whose sum is σ = 1224675460800. Its totient is φ = 96609832704.

The previous prime is 356856949483. The next prime is 356856949543. The reversal of 356856949512 is 215949658653.

356856949512 is a `hidden beast` number, since 3 + 5 + 6 + 85 + 69 + 495 + 1 + 2 = 666.

It is a super-3 number, since 3×356856949512³ (a number of 36 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 356856949512.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79600023 + ... + 79604505.

It is an arithmetic number, because the mean of its divisors is an integer number (2551407210).

Almost surely, 2^356856949512 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 356856949512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612337730400).

356856949512 is an abundant number, since it is smaller than the sum of its proper divisors (867818511288).

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

356856949512 is a wasteful number, since it uses less digits than its factorization.

356856949512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4647 (or 4627 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 356856949512 in words is "three hundred fifty-six billion, eight hundred fifty-six million, nine hundred forty-nine thousand, five hundred twelve".