87445888854478 has 288 divisors, whose sum is σ = 180807504998400. Its totient is φ = 31510481587200.

The previous prime is 87445888854461. The next prime is 87445888854503.

87445888854478 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11828197150 + ... + 11828204542.

It is an arithmetic number, because the mean of its divisors is an integer number (627803836800).

Almost surely, 2^{87445888854478} is an apocalyptic number.

87445888854478 is an abundant number, since it is smaller than the sum of its proper divisors (93361616143922).

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

87445888854478 is a wasteful number, since it uses less digits than its factorization.

87445888854478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8884 (or 8866 counting only the distinct ones).

The product of its digits is 82208358400, while the sum is 88.

The spelling of 87445888854478 in words is "eighty-seven trillion, four hundred forty-five billion, eight hundred eighty-eight million, eight hundred fifty-four thousand, four hundred seventy-eight".