35312428965366 has 512 divisors, whose sum is σ = 98284988006400. Its totient is φ = 9180256176000.

The previous prime is 35312428965301. The next prime is 35312428965371. The reversal of 35312428965366 is 66356982421353.

35312428965366 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 2 + 4 + 2 + 8 + 96 + 536 + 6 = 666.

35312428965366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 32307802716 + ... + 32307803808.

It is an arithmetic number, because the mean of its divisors is an integer number (191962867200).

Almost surely, 2^{35312428965366} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35312428965366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49142494003200).

35312428965366 is an abundant number, since it is smaller than the sum of its proper divisors (62972559041034).

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

35312428965366 is a wasteful number, since it uses less digits than its factorization.

35312428965366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1306 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 63.

The spelling of 35312428965366 in words is "thirty-five trillion, three hundred twelve billion, four hundred twenty-eight million, nine hundred sixty-five thousand, three hundred sixty-six".