46416442056600 has 384 divisors, whose sum is σ = 180497156014080. Its totient is φ = 9585801792000.

The previous prime is 46416442056587. The next prime is 46416442056623. The reversal of 46416442056600 is 665024461464.

It is a self number, because there is not a number n which added to its sum of digits gives 46416442056600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4448745 + ... + 10612455.

It is an arithmetic number, because the mean of its divisors is an integer number (470044677120).

Almost surely, 2^{46416442056600} is an apocalyptic number.

46416442056600 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 46416442056600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90248578007040).

46416442056600 is an abundant number, since it is smaller than the sum of its proper divisors (134080713957480).

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

46416442056600 is a wasteful number, since it uses less digits than its factorization.

46416442056600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6163911 (or 6163902 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 46416442056600 in words is "forty-six trillion, four hundred sixteen billion, four hundred forty-two million, fifty-six thousand, six hundred".