45427819417344 has 2304 divisors, whose sum is σ = 174353396224000. Its totient is φ = 11588006707200.

The previous prime is 45427819417313. The next prime is 45427819417363. The reversal of 45427819417344 is 44371491872454.

45427819417344 is a `hidden beast` number, since 4 + 5 + 4 + 278 + 1 + 9 + 4 + 17 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (108380160) is a multiple of the sum of its prime divisors (490).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137244167259 + ... + 137244167589.

Almost surely, 2^{45427819417344} 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 45427819417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87176698112000).

45427819417344 is an abundant number, since it is smaller than the sum of its proper divisors (128925576806656).

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

45427819417344 is a wasteful number, since it uses less digits than its factorization.

45427819417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 490 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 45427819417344 in words is "forty-five trillion, four hundred twenty-seven billion, eight hundred nineteen million, four hundred seventeen thousand, three hundred forty-four".