13894406680 has 384 divisors, whose sum is σ = 42443896320. Its totient is φ = 4033720320.

The previous prime is 13894406671. The next prime is 13894406693. The reversal of 13894406680 is 8660449831.

It is a hoax number, since the sum of its digits (49) 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 (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61208727 + ... + 61208953.

It is an arithmetic number, because the mean of its divisors is an integer number (110530980).

Almost surely, 2^13894406680 is an apocalyptic number.

13894406680 is a gapful number since it is divisible by the number (10) 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 13894406680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21221948160).

13894406680 is an abundant number, since it is smaller than the sum of its proper divisors (28549489640).

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

13894406680 is a wasteful number, since it uses less digits than its factorization.

13894406680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 13894406680 in words is "thirteen billion, eight hundred ninety-four million, four hundred six thousand, six hundred eighty".