46017456540000 has 960 divisors, whose sum is σ = 175487026176000. Its totient is φ = 10443516160000.

The previous prime is 46017456539959. The next prime is 46017456540019. The reversal of 46017456540000 is 4565471064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 713427751 + ... + 713492249.

It is an arithmetic number, because the mean of its divisors is an integer number (182798985600).

Almost surely, 2^{46017456540000} is an apocalyptic number.

46017456540000 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 46017456540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87743513088000).

46017456540000 is an abundant number, since it is smaller than the sum of its proper divisors (129469569636000).

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

46017456540000 is a wasteful number, since it uses less digits than its factorization.

46017456540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64613 (or 64590 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 46017456540000 in words is "forty-six trillion, seventeen billion, four hundred fifty-six million, five hundred forty thousand".