610413314016 has 48 divisors (see below), whose sum is σ = 1748001765888. Its totient is φ = 184973731200.

The previous prime is 610413313997. The next prime is 610413314029.

610413314016 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 289020400 + ... + 289022511.

It is an arithmetic number, because the mean of its divisors is an integer number (36416703456).

Almost surely, 2^610413314016 is an apocalyptic number.

610413314016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

610413314016 is an abundant number, since it is smaller than the sum of its proper divisors (1137588451872).

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

610413314016 is a wasteful number, since it uses less digits than its factorization.

610413314016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578042935 (or 578042927 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 610413 and 314016, that added together give a palindrome (924429).

The spelling of 610413314016 in words is "six hundred ten billion, four hundred thirteen million, three hundred fourteen thousand, sixteen".