465872317536 has 96 divisors (see below), whose sum is σ = 1241911899648. Its totient is φ = 152896665600.

The previous prime is 465872317513. The next prime is 465872317627. The reversal of 465872317536 is 635713278564.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×465872317536³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495845 + ... + 1780251.

It is an arithmetic number, because the mean of its divisors is an integer number (12936582288).

Almost surely, 2^465872317536 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 465872317536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620955949824).

465872317536 is an abundant number, since it is smaller than the sum of its proper divisors (776039582112).

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

465872317536 is a wasteful number, since it uses less digits than its factorization.

465872317536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284684 (or 284676 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 57.

The spelling of 465872317536 in words is "four hundred sixty-five billion, eight hundred seventy-two million, three hundred seventeen thousand, five hundred thirty-six".