34364261560431 has 64 divisors (see below), whose sum is σ = 51522162370560. Its totient is φ = 20195982720000.

The previous prime is 34364261560417. The next prime is 34364261560487. The reversal of 34364261560431 is 13406516246343.

It is not a de Polignac number, because 34364261560431 - 2²³ = 34364253171823 is a prime.

It is a super-2 number, since 2×34364261560431² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364261560331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345427365 + ... + 345526833.

It is an arithmetic number, because the mean of its divisors is an integer number (805033787040).

Almost surely, 2^{34364261560431} is an apocalyptic number.

34364261560431 is a deficient number, since it is larger than the sum of its proper divisors (17157900810129).

34364261560431 is a wasteful number, since it uses less digits than its factorization.

34364261560431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101968.

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 34364261560431 in words is "thirty-four trillion, three hundred sixty-four billion, two hundred sixty-one million, five hundred sixty thousand, four hundred thirty-one".