468007133000 has 128 divisors (see below), whose sum is σ = 1235891779200. Its totient is φ = 164315872000.

The previous prime is 468007132921. The next prime is 468007133017. The reversal of 468007133000 is 331700864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414554 + ... + 1052553.

It is an arithmetic number, because the mean of its divisors is an integer number (9655404525).

Almost surely, 2^468007133000 is an apocalyptic number.

468007133000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468007133000 is an abundant number, since it is smaller than the sum of its proper divisors (767884646200).

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

468007133000 is a wasteful number, since it uses less digits than its factorization.

468007133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467168 (or 1467154 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 468007133000 its reverse (331700864), we get a palindrome (468338833864).

The spelling of 468007133000 in words is "four hundred sixty-eight billion, seven million, one hundred thirty-three thousand".