634014650216331 has 192 divisors, whose sum is σ = 1003488714708480. Its totient is φ = 384419581378560.

The previous prime is 634014650216329. The next prime is 634014650216357. The reversal of 634014650216331 is 133612056410436.

634014650216331 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 1 + 4 + 6 + 5 + 0 + 2 + 1 + 633 + 1 = 666.

It is not a de Polignac number, because 634014650216331 - 2¹ = 634014650216329 is a prime.

It is a super-2 number, since 2×634014650216331² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (634014650218331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60307675731 + ... + 60307686243.

It is an arithmetic number, because the mean of its divisors is an integer number (5226503722440).

Almost surely, 2^{634014650216331} is an apocalyptic number.

634014650216331 is a deficient number, since it is larger than the sum of its proper divisors (369474064492149).

634014650216331 is a wasteful number, since it uses less digits than its factorization.

634014650216331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 11303 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 634014650216331 in words is "six hundred thirty-four trillion, fourteen billion, six hundred fifty million, two hundred sixteen thousand, three hundred thirty-one".