45711714816000 has 1248 divisors, whose sum is σ = 168480530644608. Its totient is φ = 11919694233600.

The previous prime is 45711714815981. The next prime is 45711714816007. The reversal of 45711714816000 is 61841711754.

45711714816000 is a `hidden beast` number, since 4 + 57 + 117 + 1 + 481 + 6 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (45711714816007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40923647442 + ... + 40923648558.

It is an arithmetic number, because the mean of its divisors is an integer number (135000425196).

Almost surely, 2^{45711714816000} is an apocalyptic number.

45711714816000 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 45711714816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240265322304).

45711714816000 is an abundant number, since it is smaller than the sum of its proper divisors (122768815828608).

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

45711714816000 is a wasteful number, since it uses less digits than its factorization.

45711714816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 45711714816000 in words is "forty-five trillion, seven hundred eleven billion, seven hundred fourteen million, eight hundred sixteen thousand".