35214858768 has 160 divisors (see below), whose sum is σ = 96268481280. Its totient is φ = 11070259200.

The previous prime is 35214858739. The next prime is 35214858823. The reversal of 35214858768 is 86785841253.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34900248 + ... + 34901256.

It is an arithmetic number, because the mean of its divisors is an integer number (601678008).

Almost surely, 2^35214858768 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 35214858768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48134240640).

35214858768 is an abundant number, since it is smaller than the sum of its proper divisors (61053622512).

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

35214858768 is a wasteful number, since it uses less digits than its factorization.

35214858768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1451 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 57.

The spelling of 35214858768 in words is "thirty-five billion, two hundred fourteen million, eight hundred fifty-eight thousand, seven hundred sixty-eight".