466861108000 has 192 divisors, whose sum is σ = 1312016299776. Its totient is φ = 159936000000.

The previous prime is 466861107919. The next prime is 466861108001. The reversal of 466861108000 is 801168664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (466861108001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38101875 + ... + 38114125.

It is an arithmetic number, because the mean of its divisors is an integer number (6833418228).

Almost surely, 2^466861108000 is an apocalyptic number.

466861108000 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 466861108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656008149888).

466861108000 is an abundant number, since it is smaller than the sum of its proper divisors (845155191776).

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

466861108000 is a wasteful number, since it uses less digits than its factorization.

466861108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13644 (or 13626 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 466861108000 in words is "four hundred sixty-six billion, eight hundred sixty-one million, one hundred eight thousand".