35814223663344 has 800 divisors, whose sum is σ = 125627469327360. Its totient is φ = 9622184140800.

The previous prime is 35814223663343. The next prime is 35814223663349. The reversal of 35814223663344 is 44336632241853.

35814223663344 is a `hidden beast` number, since 3 + 5 + 8 + 1 + 4 + 2 + 236 + 63 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35814223663343) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27485972997 + ... + 27485974299.

Almost surely, 2^{35814223663344} 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 35814223663344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62813734663680).

35814223663344 is an abundant number, since it is smaller than the sum of its proper divisors (89813245664016).

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

35814223663344 is a wasteful number, since it uses less digits than its factorization.

35814223663344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2396 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 54.

The spelling of 35814223663344 in words is "thirty-five trillion, eight hundred fourteen billion, two hundred twenty-three million, six hundred sixty-three thousand, three hundred forty-four".