953649946359 has 48 divisors (see below), whose sum is σ = 1513981472640. Its totient is φ = 573641248320.

The previous prime is 953649946343. The next prime is 953649946387.

It is a happy number.

953649946359 is a `hidden beast` number, since 9 + 53 + 64 + 9 + 9 + 463 + 59 = 666.

953649946359 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 953649946359 - 2⁴ = 953649946343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953649946309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58379757 + ... + 58396089.

It is an arithmetic number, because the mean of its divisors is an integer number (31541280680).

Almost surely, 2^953649946359 is an apocalyptic number.

953649946359 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

953649946359 is a deficient number, since it is larger than the sum of its proper divisors (560331526281).

953649946359 is a wasteful number, since it uses less digits than its factorization.

953649946359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20732 (or 20729 counting only the distinct ones).

The product of its digits is 850305600, while the sum is 72.

The spelling of 953649946359 in words is "nine hundred fifty-three billion, six hundred forty-nine million, nine hundred forty-six thousand, three hundred fifty-nine".