84477022077448 has 128 divisors (see below), whose sum is σ = 212737674240000. Its totient is φ = 30371596888320.

The previous prime is 84477022077419. The next prime is 84477022077451.

84477022077448 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 84477022077448.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23285853 + ... + 26668051.

It is an arithmetic number, because the mean of its divisors is an integer number (1662013080000).

Almost surely, 2^{84477022077448} is an apocalyptic number.

84477022077448 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 84477022077448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106368837120000).

84477022077448 is an abundant number, since it is smaller than the sum of its proper divisors (128260652162552).

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

84477022077448 is a wasteful number, since it uses less digits than its factorization.

84477022077448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385355 (or 3385351 counting only the distinct ones).

The product of its (nonzero) digits is 157351936, while the sum is 64.

The spelling of 84477022077448 in words is "eighty-four trillion, four hundred seventy-seven billion, twenty-two million, seventy-seven thousand, four hundred forty-eight".