84577172240688 has 160 divisors (see below), whose sum is σ = 232405020840960. Its totient is φ = 26412307968000.

The previous prime is 84577172240683. The next prime is 84577172240711. The reversal of 84577172240688 is 88604227177548.

It is not an unprimeable number, because it can be changed into a prime (84577172240683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 887743231 + ... + 887838497.

It is an arithmetic number, because the mean of its divisors is an integer number (1452531380256).

Almost surely, 2^{84577172240688} 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 84577172240688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116202510420480).

84577172240688 is an abundant number, since it is smaller than the sum of its proper divisors (147827848600272).

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

84577172240688 is a wasteful number, since it uses less digits than its factorization.

84577172240688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100275 (or 100269 counting only the distinct ones).

The product of its (nonzero) digits is 337182720, while the sum is 69.

The spelling of 84577172240688 in words is "eighty-four trillion, five hundred seventy-seven billion, one hundred seventy-two million, two hundred forty thousand, six hundred eighty-eight".