466101632052 has 72 divisors (see below), whose sum is σ = 1358431978176. Its totient is φ = 131993374464.

The previous prime is 466101632041. The next prime is 466101632053. The reversal of 466101632052 is 250236101664.

466101632052 is a `hidden beast` number, since 4 + 6 + 6 + 10 + 1 + 632 + 0 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 466101631998 and 466101632016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466101632053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8155638 + ... + 8212589.

It is an arithmetic number, because the mean of its divisors is an integer number (18867110808).

Almost surely, 2^466101632052 is an apocalyptic number.

466101632052 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

466101632052 is an abundant number, since it is smaller than the sum of its proper divisors (892330346124).

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

466101632052 is a wasteful number, since it uses less digits than its factorization.

466101632052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16368357 (or 16368352 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 466101632052 in words is "four hundred sixty-six billion, one hundred one million, six hundred thirty-two thousand, fifty-two".