8416235476544 has 224 divisors, whose sum is σ = 19402826726400. Its totient is φ = 3547877179392.

The previous prime is 8416235476543. The next prime is 8416235476559. The reversal of 8416235476544 is 4456745326148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (8416235476541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531780377 + ... + 3531782759.

Almost surely, 2^{8416235476544} 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 8416235476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9701413363200).

8416235476544 is an abundant number, since it is smaller than the sum of its proper divisors (10986591249856).

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

8416235476544 is a wasteful number, since it uses less digits than its factorization.

8416235476544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045 (or 3035 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 59.

The spelling of 8416235476544 in words is "eight trillion, four hundred sixteen billion, two hundred thirty-five million, four hundred seventy-six thousand, five hundred forty-four".