14538968371200 has 1248 divisors, whose sum is σ = 62644853972736. Its totient is φ = 2887023329280.

The previous prime is 14538968371199. The next prime is 14538968371241. The reversal of 14538968371200 is 217386983541.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×14538968371200² (a number of 27 digits) contains 22 as substring.

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, 475223104 + ... + 475253696.

It is a 1-persistent number, because it is pandigital, but 2⋅14538968371200 = 29077936742400 is not.

Almost surely, 2^{14538968371200} is an apocalyptic number.

14538968371200 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 14538968371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31322426986368).

14538968371200 is an abundant number, since it is smaller than the sum of its proper divisors (48105885601536).

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

14538968371200 is a wasteful number, since it uses less digits than its factorization.

14538968371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30667 (or 30640 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 14538968371200 in words is "fourteen trillion, five hundred thirty-eight billion, nine hundred sixty-eight million, three hundred seventy-one thousand, two hundred".