465118316306616 has 512 divisors, whose sum is σ = 1426493298585600. Its totient is φ = 123519373148160.

The previous prime is 465118316306597. The next prime is 465118316306617. The reversal of 465118316306616 is 616603613811564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465118316306617) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13009192996 + ... + 13009228748.

It is an arithmetic number, because the mean of its divisors is an integer number (2786119723800).

Almost surely, 2^{465118316306616} is an apocalyptic number.

465118316306616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465118316306616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713246649292800).

465118316306616 is an abundant number, since it is smaller than the sum of its proper divisors (961374982278984).

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

465118316306616 is a wasteful number, since it uses less digits than its factorization.

465118316306616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36519 (or 36515 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 465118316306616 in words is "four hundred sixty-five trillion, one hundred eighteen billion, three hundred sixteen million, three hundred six thousand, six hundred sixteen".