14908938240 has 768 divisors, whose sum is σ = 59439744000. Its totient is φ = 3114270720.

The previous prime is 14908938173. The next prime is 14908938257. The reversal of 14908938240 is 4283980941.

It is a tau number, because it is divible by the number of its divisors (768).

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 14908938240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167516116 + ... + 167516204.

It is an arithmetic number, because the mean of its divisors is an integer number (77395500).

Almost surely, 2^14908938240 is an apocalyptic number.

14908938240 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 14908938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872000).

14908938240 is an abundant number, since it is smaller than the sum of its proper divisors (44530805760).

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

14908938240 is a wasteful number, since it uses less digits than its factorization.

14908938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 14908938240 in words is "fourteen billion, nine hundred eight million, nine hundred thirty-eight thousand, two hundred forty".