134622226431 has 144 divisors (see below), whose sum is σ = 253681579008. Its totient is φ = 66824352000.

The previous prime is 134622226429. The next prime is 134622226451.

134622226431 is a `hidden beast` number, since 1 + 3 + 4 + 6 + 2 + 2 + 2 + 2 + 643 + 1 = 666.

134622226431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134622226431 - 2¹ = 134622226429 is a prime.

It is a super-3 number, since 3×134622226431³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134622226411) 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 143 ways as a sum of consecutive naturals, for example, 58862970 + ... + 58865256.

It is an arithmetic number, because the mean of its divisors is an integer number (1761677632).

Almost surely, 2^134622226431 is an apocalyptic number.

134622226431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134622226431 is a deficient number, since it is larger than the sum of its proper divisors (119059352577).

134622226431 is a wasteful number, since it uses less digits than its factorization.

134622226431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2438 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 134622226431 in words is "one hundred thirty-four billion, six hundred twenty-two million, two hundred twenty-six thousand, four hundred thirty-one".