14099069952000 has 3136 divisors, whose sum is σ = 61544906250048. Its totient is φ = 3185049600000.

The previous prime is 14099069951971. The next prime is 14099069952001. The reversal of 14099069952000 is 25996099041.

14099069952000 is a `hidden beast` number, since 1 + 409 + 90 + 69 + 95 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×14099069952000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14099069952001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 139594751950 + ... + 139594752050.

Almost surely, 2^{14099069952000} is an apocalyptic number.

14099069952000 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 14099069952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772453125024).

14099069952000 is an abundant number, since it is smaller than the sum of its proper divisors (47445836298048).

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

14099069952000 is an equidigital number, since it uses as much as digits as its factorization.

14099069952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 14099069952000 in words is "fourteen trillion, ninety-nine billion, sixty-nine million, nine hundred fifty-two thousand".