84473651221344 has 576 divisors, whose sum is σ = 301905023067648. Its totient is φ = 21764968243200.

The previous prime is 84473651221343. The next prime is 84473651221357. The reversal of 84473651221344 is 44312215637448.

84473651221344 is a `hidden beast` number, since 8 + 4 + 4 + 73 + 6 + 5 + 1 + 221 + 344 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84473651221343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10437862162 + ... + 10437870254.

It is an arithmetic number, because the mean of its divisors is an integer number (524140665048).

Almost surely, 2^{84473651221344} is an apocalyptic number.

84473651221344 is a gapful number since it is divisible by the number (84) 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 84473651221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150952511533824).

84473651221344 is an abundant number, since it is smaller than the sum of its proper divisors (217431371846304).

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

84473651221344 is a wasteful number, since it uses less digits than its factorization.

84473651221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11851 (or 11840 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 84473651221344 in words is "eighty-four trillion, four hundred seventy-three billion, six hundred fifty-one million, two hundred twenty-one thousand, three hundred forty-four".