45317801894400 has 1920 divisors, whose sum is σ = 199594985103360. Its totient is φ = 9846642769920.

The previous prime is 45317801894381. The next prime is 45317801894447. The reversal of 45317801894400 is 449810871354.

45317801894400 is a `hidden beast` number, since 4 + 5 + 3 + 17 + 8 + 0 + 189 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×45317801894400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9292144762 + ... + 9292149638.

It is an arithmetic number, because the mean of its divisors is an integer number (103955721408).

Almost surely, 2^{45317801894400} is an apocalyptic number.

45317801894400 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 45317801894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99797492551680).

45317801894400 is an abundant number, since it is smaller than the sum of its proper divisors (154277183208960).

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

45317801894400 is a wasteful number, since it uses less digits than its factorization.

45317801894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5111 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 45317801894400 in words is "forty-five trillion, three hundred seventeen billion, eight hundred one million, eight hundred ninety-four thousand, four hundred".