45414383616000 has 1216 divisors, whose sum is σ = 191948433231360. Its totient is φ = 10379014963200.

The previous prime is 45414383615999. The next prime is 45414383616109. The reversal of 45414383616000 is 61638341454.

45414383616000 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 4 + 3 + 8 + 36 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6193148334 + ... + 6193155666.

It is an arithmetic number, because the mean of its divisors is an integer number (157852329960).

Almost surely, 2^{45414383616000} is an apocalyptic number.

45414383616000 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 45414383616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95974216615680).

45414383616000 is an abundant number, since it is smaller than the sum of its proper divisors (146534049615360).

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

45414383616000 is an frugal number, since it uses more digits than its factorization.

45414383616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7400 (or 7350 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 45414383616000 in words is "forty-five trillion, four hundred fourteen billion, three hundred eighty-three million, six hundred sixteen thousand".