8956148352 has 128 divisors (see below), whose sum is σ = 25566373440. Its totient is φ = 2767699968.

The previous prime is 8956148303. The next prime is 8956148353. The reversal of 8956148352 is 2538416598.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 8956148295 and 8956148304.

It is not an unprimeable number, because it can be changed into a prime (8956148353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427138 + ... + 447614.

Almost surely, 2^8956148352 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 8956148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12783186720).

8956148352 is an abundant number, since it is smaller than the sum of its proper divisors (16610225088).

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

8956148352 is a wasteful number, since it uses less digits than its factorization.

8956148352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20578 (or 20566 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 8956148352 is about 94636.9291133224. The cubic root of 8956148352 is about 2076.6999841040.

The spelling of 8956148352 in words is "eight billion, nine hundred fifty-six million, one hundred forty-eight thousand, three hundred fifty-two".