465546297996000 has 1728 divisors, whose sum is σ = 1883484524533248. Its totient is φ = 108190218240000.

The previous prime is 465546297995939. The next prime is 465546297996001. The reversal of 465546297996000 is 699792645564.

465546297996000 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 4 + 6 + 2 + 9 + 7 + 9 + 9 + 600 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 465546297996000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465546297996001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18439655377 + ... + 18439680623.

It is an arithmetic number, because the mean of its divisors is an integer number (1089979470216).

Almost surely, 2^{465546297996000} is an apocalyptic number.

465546297996000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465546297996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941742262266624).

465546297996000 is an abundant number, since it is smaller than the sum of its proper divisors (1417938226537248).

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

465546297996000 is a wasteful number, since it uses less digits than its factorization.

465546297996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25394 (or 25342 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 465546297996000 in words is "four hundred sixty-five trillion, five hundred forty-six billion, two hundred ninety-seven million, nine hundred ninety-six thousand".