465989204219616 has 1080 divisors, whose sum is σ = 1754063011576512. Its totient is φ = 117131112806400.

The previous prime is 465989204219551. The next prime is 465989204219621. The reversal of 465989204219616 is 616912402989564.

465989204219616 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 89 + 20 + 421 + 96 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2593681660 + ... + 2593861316.

Almost surely, 2^{465989204219616} 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 465989204219616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877031505788256).

465989204219616 is an abundant number, since it is smaller than the sum of its proper divisors (1288073807356896).

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

465989204219616 is a wasteful number, since it uses less digits than its factorization.

465989204219616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179754 (or 179711 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 465989204219616 in words is "four hundred sixty-five trillion, nine hundred eighty-nine billion, two hundred four million, two hundred nineteen thousand, six hundred sixteen".