14634090799104 has 448 divisors, whose sum is σ = 47587430108160. Its totient is φ = 3906781839360.

The previous prime is 14634090799087. The next prime is 14634090799183. The reversal of 14634090799104 is 40199709043641.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×14634090799104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 238577719 + ... + 238639049.

Almost surely, 2^{14634090799104} is an apocalyptic number.

14634090799104 is a gapful number since it is divisible by the number (14) 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 14634090799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793715054080).

14634090799104 is an abundant number, since it is smaller than the sum of its proper divisors (32953339309056).

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

14634090799104 is an equidigital number, since it uses as much as digits as its factorization.

14634090799104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61459 (or 61435 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 14634090799104 in words is "fourteen trillion, six hundred thirty-four billion, ninety million, seven hundred ninety-nine thousand, one hundred four".