87441411456 has 384 divisors, whose sum is σ = 295839086400. Its totient is φ = 24274059264.

The previous prime is 87441411413. The next prime is 87441411479. The reversal of 87441411456 is 65411414478.

87441411456 is a `hidden beast` number, since 8 + 74 + 414 + 114 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46584790 + ... + 46586666.

Almost surely, 2^87441411456 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 87441411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147919543200).

87441411456 is an abundant number, since it is smaller than the sum of its proper divisors (208397674944).

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

87441411456 is a wasteful number, since it uses less digits than its factorization.

87441411456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 2051 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 87441411456 in words is "eighty-seven billion, four hundred forty-one million, four hundred eleven thousand, four hundred fifty-six".