13678094430 has 768 divisors, whose sum is σ = 52366694400. Its totient is φ = 2458460160.

The previous prime is 13678094429. The next prime is 13678094449. The reversal of 13678094430 is 3449087631.

13678094430 is a `hidden beast` number, since 136 + 7 + 80 + 9 + 4 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 59729556 + ... + 59729784.

It is an arithmetic number, because the mean of its divisors is an integer number (68185800).

Almost surely, 2^13678094430 is an apocalyptic number.

13678094430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13678094430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26183347200).

13678094430 is an abundant number, since it is smaller than the sum of its proper divisors (38688599970).

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

13678094430 is a wasteful number, since it uses less digits than its factorization.

13678094430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13678094430 in words is "thirteen billion, six hundred seventy-eight million, ninety-four thousand, four hundred thirty".