4964015192049 has 27 divisors (see below), whose sum is σ = 7187402879137. Its totient is φ = 3301442948544.

The previous prime is 4964015192039. The next prime is 4964015192057. The reversal of 4964015192049 is 9402915104694.

The square root of 4964015192049 is 2228007.

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

4964015192049 is a `hidden beast` number, since 4 + 9 + 6 + 401 + 5 + 192 + 0 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1081302580449 + 3882712611600 = 1039857^2 + 1970460^2 .

It is not a de Polignac number, because 4964015192049 - 2¹⁹ = 4964014667761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4964015191986 and 4964015192004.

It is not an unprimeable number, because it can be changed into a prime (4964015192039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4525081669 + ... + 4525082765.

Almost surely, 2^{4964015192049} is an apocalyptic number.

4964015192049 is the 2228007-th square number.

4964015192049 is the 1114004-th centered octagonal number.

It is an amenable number.

4964015192049 is a deficient number, since it is larger than the sum of its proper divisors (2223387687088).

4964015192049 is an frugal number, since it uses more digits than its factorization.

4964015192049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3554 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 4964015192049 in words is "four trillion, nine hundred sixty-four billion, fifteen million, one hundred ninety-two thousand, forty-nine".