31434984047649 has 128 divisors (see below), whose sum is σ = 53293923020800. Its totient is φ = 16039560176640.

The previous prime is 31434984047603. The next prime is 31434984047651. The reversal of 31434984047649 is 94674048943413.

It is not a de Polignac number, because 31434984047649 - 2²¹ = 31434981950497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31434984047649.

It is not an unprimeable number, because it can be changed into a prime (31434984045649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3801541887 + ... + 3801550155.

It is an arithmetic number, because the mean of its divisors is an integer number (416358773600).

Almost surely, 2^{31434984047649} is an apocalyptic number.

31434984047649 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

31434984047649 is a deficient number, since it is larger than the sum of its proper divisors (21858938973151).

31434984047649 is a wasteful number, since it uses less digits than its factorization.

31434984047649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11415.

The product of its (nonzero) digits is 250822656, while the sum is 66.

The spelling of 31434984047649 in words is "thirty-one trillion, four hundred thirty-four billion, nine hundred eighty-four million, forty-seven thousand, six hundred forty-nine".