8454144640 has 64 divisors (see below), whose sum is σ = 20396277000. Its totient is φ = 3350605824.

The previous prime is 8454144637. The next prime is 8454144649. The reversal of 8454144640 is 464414548.

It can be written as a sum of positive squares in 4 ways, for example, as 8246092864 + 208051776 = 90808^2 + 14424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8454144593 and 8454144602.

It is not an unprimeable number, because it can be changed into a prime (8454144649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9166 + ... + 130354.

Almost surely, 2^8454144640 is an apocalyptic number.

8454144640 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 8454144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198138500).

8454144640 is an abundant number, since it is smaller than the sum of its proper divisors (11942132360).

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

8454144640 is a wasteful number, since it uses less digits than its factorization.

8454144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121317 (or 121305 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The square root of 8454144640 is about 91946.4226601557. The cubic root of 8454144640 is about 2037.1510147392.

The spelling of 8454144640 in words is "eight billion, four hundred fifty-four million, one hundred forty-four thousand, six hundred forty".