46006002000 has 480 divisors, whose sum is σ = 191721479040. Its totient is φ = 10515052800.

The previous prime is 46006001999. The next prime is 46006002061. The reversal of 46006002000 is 20060064.

46006002000 is a `hidden beast` number, since 4 + 60 + 0 + 600 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2637307 + ... + 2654693.

It is an arithmetic number, because the mean of its divisors is an integer number (399419748).

Almost surely, 2^46006002000 is an apocalyptic number.

46006002000 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 46006002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95860739520).

46006002000 is an abundant number, since it is smaller than the sum of its proper divisors (145715477040).

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

46006002000 is a wasteful number, since it uses less digits than its factorization.

46006002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17433 (or 17404 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 46006002000 its reverse (20060064), we get a palindrome (46026062064).

The spelling of 46006002000 in words is "forty-six billion, six million, two thousand", and thus it is an eban number.