46541315000 has 80 divisors (see below), whose sum is σ = 109216227120. Its totient is φ = 18587520000.

The previous prime is 46541314991. The next prime is 46541315011. The reversal of 46541315000 is 51314564.

It is a happy number.

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 19 ways as a sum of consecutive naturals, for example, 3358085 + ... + 3371915.

It is an arithmetic number, because the mean of its divisors is an integer number (1365202839).

Almost surely, 2^46541315000 is an apocalyptic number.

46541315000 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 46541315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54608113560).

46541315000 is an abundant number, since it is smaller than the sum of its proper divisors (62674912120).

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

46541315000 is a wasteful number, since it uses less digits than its factorization.

46541315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14530 (or 14511 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 46541315000 its reverse (51314564), we get a palindrome (46592629564).

The spelling of 46541315000 in words is "forty-six billion, five hundred forty-one million, three hundred fifteen thousand".