465561528948 has 72 divisors (see below), whose sum is σ = 1198012757760. Its totient is φ = 152400057600.

The previous prime is 465561528877. The next prime is 465561528959. The reversal of 465561528948 is 849825165564.

465561528948 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 61 + 528 + 9 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962973 + ... + 2187323.

It is an arithmetic number, because the mean of its divisors is an integer number (16639066080).

Almost surely, 2^465561528948 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 465561528948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599006378880).

465561528948 is an abundant number, since it is smaller than the sum of its proper divisors (732451228812).

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

465561528948 is a wasteful number, since it uses less digits than its factorization.

465561528948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225397 (or 225392 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 63.

The spelling of 465561528948 in words is "four hundred sixty-five billion, five hundred sixty-one million, five hundred twenty-eight thousand, nine hundred forty-eight".