610801394112 has 672 divisors, whose sum is σ = 2286772680192. Its totient is φ = 157328510976.

The previous prime is 610801394053. The next prime is 610801394117. The reversal of 610801394112 is 211493108016.

610801394112 is a `hidden beast` number, since 6 + 108 + 0 + 139 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610801394117) 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 95 ways as a sum of consecutive naturals, for example, 60849958 + ... + 60859994.

It is an arithmetic number, because the mean of its divisors is an integer number (3402935536).

Almost surely, 2^610801394112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 610801394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143386340096).

610801394112 is an abundant number, since it is smaller than the sum of its proper divisors (1675971286080).

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

610801394112 is a wasteful number, since it uses less digits than its factorization.

610801394112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10105 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 610801394112 in words is "six hundred ten billion, eight hundred one million, three hundred ninety-four thousand, one hundred twelve".