466055252712 has 240 divisors, whose sum is σ = 1520278673760. Its totient is φ = 133003612224.

The previous prime is 466055252699. The next prime is 466055252771. The reversal of 466055252712 is 217252550664.

466055252712 is a `hidden beast` number, since 4 + 6 + 60 + 5 + 52 + 527 + 12 = 666.

It is a super-4 number, since 4×466055252712⁴ (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28790973 + ... + 28807155.

It is an arithmetic number, because the mean of its divisors is an integer number (6334494474).

Almost surely, 2^466055252712 is an apocalyptic number.

466055252712 is a gapful number since it is divisible by the number (42) 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 466055252712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760139336880).

466055252712 is an abundant number, since it is smaller than the sum of its proper divisors (1054223421048).

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

466055252712 is a wasteful number, since it uses less digits than its factorization.

466055252712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17122 (or 17102 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 466055252712 in words is "four hundred sixty-six billion, fifty-five million, two hundred fifty-two thousand, seven hundred twelve".