8946061344 has 288 divisors, whose sum is σ = 29074526208. Its totient is φ = 2584512000.

The previous prime is 8946061339. The next prime is 8946061361. The reversal of 8946061344 is 4431606498.

8946061344 is a `hidden beast` number, since 8 + 9 + 4 + 606 + 1 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8946061344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8946061344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6972127 + ... + 6973409.

It is an arithmetic number, because the mean of its divisors is an integer number (100953216).

Almost surely, 2^8946061344 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 8946061344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14537263104).

8946061344 is an abundant number, since it is smaller than the sum of its proper divisors (20128464864).

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

8946061344 is a wasteful number, since it uses less digits than its factorization.

8946061344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8946061344 is about 94583.6209076392. The cubic root of 8946061344 is about 2075.9200521631.

The spelling of 8946061344 in words is "eight billion, nine hundred forty-six million, sixty-one thousand, three hundred forty-four".