45887454243072 has 864 divisors, whose sum is σ = 155136720412800. Its totient is φ = 13335930077184.

The previous prime is 45887454243023. The next prime is 45887454243097. The reversal of 45887454243072 is 27034245478854.

45887454243072 is a `hidden beast` number, since 4 + 5 + 8 + 87 + 4 + 54 + 2 + 430 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7834631568 + ... + 7834637424.

Almost surely, 2^{45887454243072} 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 45887454243072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77568360206400).

45887454243072 is an abundant number, since it is smaller than the sum of its proper divisors (109249266169728).

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

45887454243072 is a wasteful number, since it uses less digits than its factorization.

45887454243072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6280 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 240844800, while the sum is 63.

The spelling of 45887454243072 in words is "forty-five trillion, eight hundred eighty-seven billion, four hundred fifty-four million, two hundred forty-three thousand, seventy-two".