14938140672 has 624 divisors, whose sum is σ = 54716928448. Its totient is φ = 3822059520.

The previous prime is 14938140661. The next prime is 14938140673. The reversal of 14938140672 is 27604183941.

14938140672 is a `hidden beast` number, since 14 + 93 + 81 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×14938140672³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14938140673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204632028 + ... + 204632100.

Almost surely, 2^14938140672 is an apocalyptic number.

14938140672 is a gapful number since it is divisible by the number (12) 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 14938140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358464224).

14938140672 is an abundant number, since it is smaller than the sum of its proper divisors (39778787776).

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

14938140672 is a wasteful number, since it uses less digits than its factorization.

14938140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14938140672 in words is "fourteen billion, nine hundred thirty-eight million, one hundred forty thousand, six hundred seventy-two".