35046444464053 has 48 divisors (see below), whose sum is σ = 41252488704000. Its totient is φ = 29644980485120.

The previous prime is 35046444464039. The next prime is 35046444464077.

It is a happy number.

35046444464053 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-35046444464053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35046444464033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2108809578 + ... + 2108826196.

It is an arithmetic number, because the mean of its divisors is an integer number (859426848000).

Almost surely, 2^{35046444464053} is an apocalyptic number.

It is an amenable number.

35046444464053 is a deficient number, since it is larger than the sum of its proper divisors (6206044239947).

35046444464053 is a wasteful number, since it uses less digits than its factorization.

35046444464053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28266 (or 28255 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 52.

It can be divided in two parts, 3504644 and 4464053, that added together give a palindrome (7968697).

The spelling of 35046444464053 in words is "thirty-five trillion, forty-six billion, four hundred forty-four million, four hundred sixty-four thousand, fifty-three".