465821402112 has 528 divisors, whose sum is σ = 1498132027392. Its totient is φ = 138231152640.

The previous prime is 465821402077. The next prime is 465821402117. The reversal of 465821402112 is 211204128564.

465821402112 is a `hidden beast` number, since 4 + 6 + 582 + 1 + 40 + 21 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-3 number, since 3×465821402112³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (465821402117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248850758 + ... + 1248851130.

It is an arithmetic number, because the mean of its divisors is an integer number (2837371264).

Almost surely, 2^465821402112 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 465821402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749066013696).

465821402112 is an abundant number, since it is smaller than the sum of its proper divisors (1032310625280).

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

465821402112 is a wasteful number, since it uses less digits than its factorization.

465821402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 465821402112 in words is "four hundred sixty-five billion, eight hundred twenty-one million, four hundred two thousand, one hundred twelve".