465146440555500 has 768 divisors, whose sum is σ = 1682337604147200. Its totient is φ = 109981912320000.

The previous prime is 465146440555487. The next prime is 465146440555501. The reversal of 465146440555500 is 5555044641564.

It is a happy number.

465146440555500 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 46 + 4 + 40 + 5 + 5 + 550 + 0 = 666.

It is a super-2 number, since 2×465146440555500² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (465146440555501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27988826191 + ... + 27988842809.

It is an arithmetic number, because the mean of its divisors is an integer number (2190543755400).

Almost surely, 2^{465146440555500} 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 465146440555500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841168802073600).

465146440555500 is an abundant number, since it is smaller than the sum of its proper divisors (1217191163591700).

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

465146440555500 is a wasteful number, since it uses less digits than its factorization.

465146440555500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21296 (or 21278 counting only the distinct ones).

The product of its (nonzero) digits is 28800000, while the sum is 54.

The spelling of 465146440555500 in words is "four hundred sixty-five trillion, one hundred forty-six billion, four hundred forty million, five hundred fifty-five thousand, five hundred".