610893810048 has 64 divisors (see below), whose sum is σ = 1708091265600. Its totient is φ = 192913832448.

The previous prime is 610893810031. The next prime is 610893810049. The reversal of 610893810048 is 840018398016.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 610893809979 and 610893810006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610893810049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41857686 + ... + 41872277.

It is an arithmetic number, because the mean of its divisors is an integer number (26688926025).

Almost surely, 2^610893810048 is an apocalyptic number.

It is an amenable number.

610893810048 is an abundant number, since it is smaller than the sum of its proper divisors (1097197455552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

610893810048 is a wasteful number, since it uses less digits than its factorization.

610893810048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83729999 (or 83729987 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 610893810048 in words is "six hundred ten billion, eight hundred ninety-three million, eight hundred ten thousand, forty-eight".