35574046848 has 72 divisors (see below), whose sum is σ = 102386450205. Its totient is φ = 11855881728.

The previous prime is 35574046777. The next prime is 35574046867. The reversal of 35574046848 is 84864047553.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

35574046848 is a `hidden beast` number, since 3 + 5 + 574 + 0 + 4 + 68 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26065456704 + 9508590144 = 161448^2 + 97512^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=133368.

It is a junction number, because it is equal to n+sod(n) for n = 35574046794 and 35574046803.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6398886 + ... + 6404442.

Almost surely, 2^35574046848 is an apocalyptic number.

It is an amenable number.

35574046848 is an abundant number, since it is smaller than the sum of its proper divisors (66812403357).

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

35574046848 is an frugal number, since it uses more digits than its factorization.

35574046848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 35574046848 in words is "thirty-five billion, five hundred seventy-four million, forty-six thousand, eight hundred forty-eight".