8934401129472 has 2640 divisors, whose sum is σ = 36716249021760. Its totient is φ = 2141245145088.

The previous prime is 8934401129471. The next prime is 8934401129503. The reversal of 8934401129472 is 2749211044398.

8934401129472 is a `hidden beast` number, since 8 + 9 + 3 + 4 + 40 + 1 + 129 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8934401129471) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 308082797554 + ... + 308082797582.

It is an arithmetic number, because the mean of its divisors is an integer number (13907670084).

Almost surely, 2^{8934401129472} 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 8934401129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358124510880).

8934401129472 is an abundant number, since it is smaller than the sum of its proper divisors (27781847892288).

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

8934401129472 is an equidigital number, since it uses as much as digits as its factorization.

8934401129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8934401129472 in words is "eight trillion, nine hundred thirty-four billion, four hundred one million, one hundred twenty-nine thousand, four hundred seventy-two".