465465692016 has 180 divisors, whose sum is σ = 1459212463800. Its totient is φ = 138281375232.

The previous prime is 465465692011. The next prime is 465465692017. The reversal of 465465692016 is 610296564564.

465465692016 is a `hidden beast` number, since 4 + 6 + 5 + 46 + 569 + 20 + 16 = 666.

It is a super-2 number, since 2×465465692016² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465465692011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 375975 + ... + 1035513.

It is an arithmetic number, because the mean of its divisors is an integer number (8106735910).

Almost surely, 2^465465692016 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 465465692016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729606231900).

465465692016 is an abundant number, since it is smaller than the sum of its proper divisors (993746771784).

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

465465692016 is a wasteful number, since it uses less digits than its factorization.

465465692016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659608 (or 659586 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

It can be divided in two parts, 465465 and 692016, that added together give a triangular number (1157481 = T₁₅₂₁).

The spelling of 465465692016 in words is "four hundred sixty-five billion, four hundred sixty-five million, six hundred ninety-two thousand, sixteen".