46146542000 has 160 divisors (see below), whose sum is σ = 120472497600. Its totient is φ = 16995225600.

The previous prime is 46146541967. The next prime is 46146542017. The reversal of 46146542000 is 24564164.

46146542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11255951 + ... + 11260049.

It is an arithmetic number, because the mean of its divisors is an integer number (752953110).

Almost surely, 2^46146542000 is an apocalyptic number.

46146542000 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 46146542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60236248800).

46146542000 is an abundant number, since it is smaller than the sum of its proper divisors (74325955600).

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

46146542000 is a wasteful number, since it uses less digits than its factorization.

46146542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4552 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 46146542000 in words is "forty-six billion, one hundred forty-six million, five hundred forty-two thousand".