5465839456 has 192 divisors, whose sum is σ = 14500684800. Its totient is φ = 2003527680.

The previous prime is 5465839453. The next prime is 5465839469. The reversal of 5465839456 is 6549385645.

Its product of digits (15552000) is a multiple of the sum of its prime divisors (2700).

It is a junction number, because it is equal to n+sod(n) for n = 5465839397 and 5465839406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5465839453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2051181 + ... + 2053843.

It is an arithmetic number, because the mean of its divisors is an integer number (75524400).

Almost surely, 2^5465839456 is an apocalyptic number.

5465839456 is a gapful number since it is divisible by the number (56) 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 5465839456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250342400).

5465839456 is an abundant number, since it is smaller than the sum of its proper divisors (9034845344).

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

5465839456 is a wasteful number, since it uses less digits than its factorization.

5465839456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2700 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 55.

The square root of 5465839456 is about 73931.3158005456. The cubic root of 5465839456 is about 1761.5120717713.

The spelling of 5465839456 in words is "five billion, four hundred sixty-five million, eight hundred thirty-nine thousand, four hundred fifty-six".