35099084104704 has 231 divisors, whose sum is σ = 105213058147897. Its totient is φ = 11697988460544.

The previous prime is 35099084104691. The next prime is 35099084104727. The reversal of 35099084104704 is 40740148099053.

The square root of 35099084104704 is 5924448.

It is a perfect power (a square), and thus also a powerful number.

35099084104704 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 90 + 84 + 1 + 0 + 470 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 255469593600 + 34843614511104 = 505440^2 + 5902848^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5118719644 + ... + 5118726500.

Almost surely, 2^{35099084104704} is an apocalyptic number.

35099084104704 is the 5924448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35099084104704

35099084104704 is an abundant number, since it is smaller than the sum of its proper divisors (70113974043193).

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

35099084104704 is an frugal number, since it uses more digits than its factorization.

35099084104704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13752 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 35099084104704 in words is "thirty-five trillion, ninety-nine billion, eighty-four million, one hundred four thousand, seven hundred four".