466013188376064 has 160 divisors (see below), whose sum is σ = 1576493028464640. Its totient is φ = 133146625222656.

The previous prime is 466013188376063. The next prime is 466013188376107. The reversal of 466013188376064 is 460673881310664.

466013188376064 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 1 + 3 + 18 + 8 + 3 + 7 + 606 + 4 = 666.

It is a super-2 number, since 2×466013188376064² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 466013188375992 and 466013188376010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466013188376063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2407792144 + ... + 2407985679.

It is an arithmetic number, because the mean of its divisors is an integer number (9853081427904).

Almost surely, 2^{466013188376064} is an apocalyptic number.

It is an amenable number.

466013188376064 is an abundant number, since it is smaller than the sum of its proper divisors (1110479840088576).

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

466013188376064 is an equidigital number, since it uses as much as digits as its factorization.

466013188376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4815777857 (or 4815777835 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 466013188376064 in words is "four hundred sixty-six trillion, thirteen billion, one hundred eighty-eight million, three hundred seventy-six thousand, sixty-four".