46305441000 has 1152 divisors, whose sum is σ = 201872230560. Its totient is φ = 9483264000.

The previous prime is 46305440893. The next prime is 46305441011. The reversal of 46305441000 is 14450364.

It can be written as a sum of positive squares in 16 ways, for example, as 6017725476 + 40287715524 = 77574^2 + 200718^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 235052902 + ... + 235053098.

Almost surely, 2^46305441000 is an apocalyptic number.

46305441000 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 46305441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100936115280).

46305441000 is an abundant number, since it is smaller than the sum of its proper divisors (155566789560).

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

46305441000 is a wasteful number, since it uses less digits than its factorization.

46305441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 46305441000 its reverse (14450364), we get a palindrome (46319891364).

The spelling of 46305441000 in words is "forty-six billion, three hundred five million, four hundred forty-one thousand".