634441307457131 has 16 divisors (see below), whose sum is σ = 699925034642400. Its totient is φ = 572383139317248.

The previous prime is 634441307457053. The next prime is 634441307457163. The reversal of 634441307457131 is 131754703144436.

It is a cyclic number.

It is not a de Polignac number, because 634441307457131 - 2¹⁴ = 634441307440747 is a prime.

It is a super-4 number, since 4×634441307457131⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634441307451131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4629065300 + ... + 4629202353.

It is an arithmetic number, because the mean of its divisors is an integer number (43745314665150).

Almost surely, 2^{634441307457131} is an apocalyptic number.

634441307457131 is a deficient number, since it is larger than the sum of its proper divisors (65483727185269).

634441307457131 is a wasteful number, since it uses less digits than its factorization.

634441307457131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258267838.

The product of its (nonzero) digits is 10160640, while the sum is 53.

The spelling of 634441307457131 in words is "six hundred thirty-four trillion, four hundred forty-one billion, three hundred seven million, four hundred fifty-seven thousand, one hundred thirty-one".