984714509953 has 16 divisors (see below), whose sum is σ = 1030225986000. Its totient is φ = 939975708672.

The previous prime is 984714509939. The next prime is 984714510023. The reversal of 984714509953 is 359905417489.

It can be written as a sum of positive squares in 8 ways, for example, as 155024887824 + 829689622129 = 393732^2 + 910873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-984714509953 is a prime.

It is a super-2 number, since 2×984714509953² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (984714509923) 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, 37558513 + ... + 37584721.

It is an arithmetic number, because the mean of its divisors is an integer number (64389124125).

Almost surely, 2^984714509953 is an apocalyptic number.

It is an amenable number.

984714509953 is a deficient number, since it is larger than the sum of its proper divisors (45511476047).

984714509953 is a wasteful number, since it uses less digits than its factorization.

984714509953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40884.

The product of its (nonzero) digits is 48988800, while the sum is 64.

The spelling of 984714509953 in words is "nine hundred eighty-four billion, seven hundred fourteen million, five hundred nine thousand, nine hundred fifty-three".