65436463456 has 96 divisors (see below), whose sum is σ = 160565207040. Its totient is φ = 25559179776.

The previous prime is 65436463453. The next prime is 65436463457.

65436463456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65436463453) 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, 87825 + ... + 372271.

It is an arithmetic number, because the mean of its divisors is an integer number (1672554240).

Almost surely, 2^65436463456 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 65436463456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80282603520).

65436463456 is an abundant number, since it is smaller than the sum of its proper divisors (95128743584).

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

65436463456 is a wasteful number, since it uses less digits than its factorization.

65436463456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284556 (or 284548 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 52.

The spelling of 65436463456 in words is "sixty-five billion, four hundred thirty-six million, four hundred sixty-three thousand, four hundred fifty-six".