4860512487649 has 45 divisors (see below), whose sum is σ = 6141760792089. Its totient is φ = 3844569062880.

The previous prime is 4860512487601. The next prime is 4860512487659. The reversal of 4860512487649 is 9467842150684.

The square root of 4860512487649 is 2204657.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2090178605025 + 2770333882624 = 1445745^2 + 1664432^2 .

It is not a de Polignac number, because 4860512487649 - 2⁹ = 4860512487137 is a prime.

It is a super-3 number, since 3×4860512487649³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4860512487659) 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, 1404364779 + ... + 1404368239.

Almost surely, 2^{4860512487649} is an apocalyptic number.

4860512487649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4860512487649 is the 2204657-th square number.

4860512487649 is the 1102329-th centered octagonal number.

It is an amenable number.

4860512487649 is a deficient number, since it is larger than the sum of its proper divisors (1281248304440).

4860512487649 is an frugal number, since it uses more digits than its factorization.

4860512487649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

Multiplying 4860512487649 by its sum of digits (64), we get a square (311072799209536 = 17637256²).

The spelling of 4860512487649 in words is "four trillion, eight hundred sixty billion, five hundred twelve million, four hundred eighty-seven thousand, six hundred forty-nine".