84432744723448 has 64 divisors (see below), whose sum is σ = 173244655584000. Its totient is φ = 38258377747200.

The previous prime is 84432744723421. The next prime is 84432744723461.

84432744723448 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 84432744723448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44304868 + ... + 46171276.

It is an arithmetic number, because the mean of its divisors is an integer number (2706947743500).

Almost surely, 2^{84432744723448} is an apocalyptic number.

84432744723448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84432744723448 is an abundant number, since it is smaller than the sum of its proper divisors (88811910860552).

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

84432744723448 is a wasteful number, since it uses less digits than its factorization.

84432744723448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868036 (or 1868032 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 64.

The spelling of 84432744723448 in words is "eighty-four trillion, four hundred thirty-two billion, seven hundred forty-four million, seven hundred twenty-three thousand, four hundred forty-eight".