34248013631007 has 48 divisors (see below), whose sum is σ = 50386407492960. Its totient is φ = 20676281472000.

The previous prime is 34248013630993. The next prime is 34248013631011. The reversal of 34248013631007 is 70013631084243.

It is not a de Polignac number, because 34248013631007 - 2⁴ = 34248013630991 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34248013631007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34248013630007) 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, 832029507 + ... + 832070667.

It is an arithmetic number, because the mean of its divisors is an integer number (1049716822770).

Almost surely, 2^{34248013631007} is an apocalyptic number.

34248013631007 is a deficient number, since it is larger than the sum of its proper divisors (16138393861953).

34248013631007 is a wasteful number, since it uses less digits than its factorization.

34248013631007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49976 (or 49965 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 34248013631007 in words is "thirty-four trillion, two hundred forty-eight billion, thirteen million, six hundred thirty-one thousand, seven".