14138167680 has 1152 divisors, whose sum is σ = 64081442880. Its totient is φ = 2902376448.

The previous prime is 14138167669. The next prime is 14138167697. The reversal of 14138167680 is 8676183141.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 382112622 + ... + 382112658.

Almost surely, 2^14138167680 is an apocalyptic number.

14138167680 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 14138167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32040721440).

14138167680 is an abundant number, since it is smaller than the sum of its proper divisors (49943275200).

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

14138167680 is an frugal number, since it uses more digits than its factorization.

14138167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 14138167680 in words is "fourteen billion, one hundred thirty-eight million, one hundred sixty-seven thousand, six hundred eighty".