45668730775104 has 448 divisors, whose sum is σ = 144051796224000. Its totient is φ = 14143553648640.

The previous prime is 45668730775093. The next prime is 45668730775111. The reversal of 45668730775104 is 40157703786654.

45668730775104 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 87 + 30 + 7 + 7 + 510 + 4 = 666.

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, 5796255837 + ... + 5796263715.

It is an arithmetic number, because the mean of its divisors is an integer number (321544188000).

Almost surely, 2^{45668730775104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45668730775104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72025898112000).

45668730775104 is an abundant number, since it is smaller than the sum of its proper divisors (98383065448896).

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

45668730775104 is a wasteful number, since it uses less digits than its factorization.

45668730775104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11303 (or 11287 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 45668730775104 in words is "forty-five trillion, six hundred sixty-eight billion, seven hundred thirty million, seven hundred seventy-five thousand, one hundred four".