13054414464 has 768 divisors, whose sum is σ = 49696358400. Its totient is φ = 3299512320.

The previous prime is 13054414463. The next prime is 13054414511. The reversal of 13054414464 is 46441445031.

13054414464 is a `hidden beast` number, since 13 + 0 + 544 + 1 + 44 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054414463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126741837 + ... + 126741939.

It is an arithmetic number, because the mean of its divisors is an integer number (64708800).

Almost surely, 2^13054414464 is an apocalyptic number.

13054414464 is a gapful number since it is divisible by the number (14) 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 13054414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24848179200).

13054414464 is an abundant number, since it is smaller than the sum of its proper divisors (36641943936).

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

13054414464 is a wasteful number, since it uses less digits than its factorization.

13054414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 13054414464 its reverse (46441445031), we get a palindrome (59495859495).

The spelling of 13054414464 in words is "thirteen billion, fifty-four million, four hundred fourteen thousand, four hundred sixty-four".