465478368048000 has 768 divisors, whose sum is σ = 1713617212769280. Its totient is φ = 121015480320000.

The previous prime is 465478368047989. The next prime is 465478368048053. The reversal of 465478368048000 is 840863874564.

465478368048000 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 78 + 3 + 6 + 80 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×465478368048000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8684757202 + ... + 8684810798.

It is an arithmetic number, because the mean of its divisors is an integer number (2231272412460).

Almost surely, 2^{465478368048000} is an apocalyptic number.

465478368048000 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 465478368048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856808606384640).

465478368048000 is an abundant number, since it is smaller than the sum of its proper divisors (1248138844721280).

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

465478368048000 is a wasteful number, since it uses less digits than its factorization.

465478368048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55144 (or 55119 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 465478368048000 in words is "four hundred sixty-five trillion, four hundred seventy-eight billion, three hundred sixty-eight million, forty-eight thousand".