13414578048 has 128 divisors (see below), whose sum is σ = 39740505600. Its totient is φ = 4454714880.

The previous prime is 13414578019. The next prime is 13414578181. The reversal of 13414578048 is 84087541431.

13414578048 is a `hidden beast` number, since 1 + 34 + 1 + 4 + 578 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13414577994 and 13414578012.

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, 929415 + ... + 943737.

It is an arithmetic number, because the mean of its divisors is an integer number (310472700).

Almost surely, 2^13414578048 is an apocalyptic number.

13414578048 is a gapful number since it is divisible by the number (18) 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 13414578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19870252800).

13414578048 is an abundant number, since it is smaller than the sum of its proper divisors (26325927552).

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

13414578048 is a wasteful number, since it uses less digits than its factorization.

13414578048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14617 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 13414578048 in words is "thirteen billion, four hundred fourteen million, five hundred seventy-eight thousand, forty-eight".