14138778720 has 192 divisors, whose sum is σ = 48732316416. Its totient is φ = 3417262080.

The previous prime is 14138778659. The next prime is 14138778737. The reversal of 14138778720 is 2787783141.

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 self number, because there is not a number n which added to its sum of digits gives 14138778720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1828302 + ... + 1836018.

It is an arithmetic number, because the mean of its divisors is an integer number (253814148).

Almost surely, 2^14138778720 is an apocalyptic number.

14138778720 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 14138778720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24366158208).

14138778720 is an abundant number, since it is smaller than the sum of its proper divisors (34593537696).

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

14138778720 is a wasteful number, since it uses less digits than its factorization.

14138778720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8085 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 14138778720 in words is "fourteen billion, one hundred thirty-eight million, seven hundred seventy-eight thousand, seven hundred twenty".