46532541120 has 168 divisors, whose sum is σ = 159980260176. Its totient is φ = 11454124032.

The previous prime is 46532541089. The next prime is 46532541127. The reversal of 46532541120 is 2114523564.

It is not an unprimeable number, because it can be changed into a prime (46532541127) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18834 + ... + 305646.

Almost surely, 2^46532541120 is an apocalyptic number.

46532541120 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 46532541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79990130088).

46532541120 is an abundant number, since it is smaller than the sum of its proper divisors (113447719056).

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

46532541120 is a wasteful number, since it uses less digits than its factorization.

46532541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286859 (or 286836 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 46532541120 in words is "forty-six billion, five hundred thirty-two million, five hundred forty-one thousand, one hundred twenty".