84465611656448 has 288 divisors, whose sum is σ = 192970788175872. Its totient is φ = 36549251481600.

The previous prime is 84465611656411. The next prime is 84465611656453.

84465611656448 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 31 ways as a sum of consecutive naturals, for example, 2440691561 + ... + 2440726167.

It is an arithmetic number, because the mean of its divisors is an integer number (670037458944).

Almost surely, 2^{84465611656448} is an apocalyptic number.

84465611656448 is a gapful number since it is divisible by the number (88) 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 84465611656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96485394087936).

84465611656448 is an abundant number, since it is smaller than the sum of its proper divisors (108505176519424).

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

84465611656448 is a wasteful number, since it uses less digits than its factorization.

84465611656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35121 (or 35107 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 68.

The spelling of 84465611656448 in words is "eighty-four trillion, four hundred sixty-five billion, six hundred eleven million, six hundred fifty-six thousand, four hundred forty-eight".