45616743466800 has 240 divisors, whose sum is σ = 159486189075840. Its totient is φ = 11053304064000.

The previous prime is 45616743466799. The next prime is 45616743466817. The reversal of 45616743466800 is 866434761654.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26747655 + ... + 28401945.

It is an arithmetic number, because the mean of its divisors is an integer number (664525787816).

Almost surely, 2^{45616743466800} is an apocalyptic number.

45616743466800 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 45616743466800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79743094537920).

45616743466800 is an abundant number, since it is smaller than the sum of its proper divisors (113869445609040).

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

45616743466800 is a wasteful number, since it uses less digits than its factorization.

45616743466800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656412 (or 1656401 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 45616743466800 in words is "forty-five trillion, six hundred sixteen billion, seven hundred forty-three million, four hundred sixty-six thousand, eight hundred".