8148564480 has 160 divisors (see below), whose sum is σ = 29771558784. Its totient is φ = 1862516736.

The previous prime is 8148564469. The next prime is 8148564481. The reversal of 8148564480 is 844658418.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8148564481) 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, 22027 + ... + 129546.

Almost surely, 2^8148564480 is an apocalyptic number.

8148564480 is a gapful number since it is divisible by the number (80) 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 8148564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885779392).

8148564480 is an abundant number, since it is smaller than the sum of its proper divisors (21622994304).

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

8148564480 is a wasteful number, since it uses less digits than its factorization.

8148564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151606 (or 151590 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The square root of 8148564480 is about 90269.3994662643. The cubic root of 8148564480 is about 2012.3045175145.

The spelling of 8148564480 in words is "eight billion, one hundred forty-eight million, five hundred sixty-four thousand, four hundred eighty".