4985962987329 has 45 divisors (see below), whose sum is σ = 7486276250739. Its totient is φ = 3320719717320.

The previous prime is 4985962987277. The next prime is 4985962987339. The reversal of 4985962987329 is 9237892695894.

The square root of 4985962987329 is 2232927.

It is a perfect power (a square), and thus also a powerful number.

4985962987329 is a `hidden beast` number, since 49 + 85 + 96 + 2 + 98 + 7 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2902501690929 + 2083461296400 = 1703673^2 + 1443420^2 .

It is a de Polignac number, because none of the positive numbers 2^k-4985962987329 is a prime.

It is a super-2 number, since 2×4985962987329² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (4232632320) is a multiple of the sum of its prime divisors (1024).

It is not an unprimeable number, because it can be changed into a prime (4985962987339) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4883410839 + ... + 4883411859.

Almost surely, 2^{4985962987329} is an apocalyptic number.

4985962987329 is the 2232927-th square number.

4985962987329 is the 1116464-th centered octagonal number.

It is an amenable number.

4985962987329 is a deficient number, since it is larger than the sum of its proper divisors (2500313263410).

4985962987329 is an frugal number, since it uses more digits than its factorization.

4985962987329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 1024 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 81.

Multiplying 4985962987329 by its sum of digits (81), we get a square (403863001973649 = 20096343²).

4985962987329 divided by its sum of digits (81) gives a square (61555098609 = 248103²).

The spelling of 4985962987329 in words is "four trillion, nine hundred eighty-five billion, nine hundred sixty-two million, nine hundred eighty-seven thousand, three hundred twenty-nine".