13418691456 has 128 divisors (see below), whose sum is σ = 36562838400. Its totient is φ = 4358043648.

The previous prime is 13418691409. The next prime is 13418691509. The reversal of 13418691456 is 65419681431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13418691456² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9196455 + ... + 9197913.

It is an arithmetic number, because the mean of its divisors is an integer number (285647175).

Almost surely, 2^13418691456 is an apocalyptic number.

13418691456 is a gapful number since it is divisible by the number (16) 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 13418691456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18281419200).

13418691456 is an abundant number, since it is smaller than the sum of its proper divisors (23144146944).

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

13418691456 is a wasteful number, since it uses less digits than its factorization.

13418691456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2064 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The spelling of 13418691456 in words is "thirteen billion, four hundred eighteen million, six hundred ninety-one thousand, four hundred fifty-six".