14052098265408 has 448 divisors, whose sum is σ = 50634643968000. Its totient is φ = 3731806660608.

The previous prime is 14052098265391. The next prime is 14052098265433. The reversal of 14052098265408 is 80456289025041.

14052098265408 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 2 + 0 + 98 + 2 + 6 + 540 + 8 = 666.

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

It is a super-2 number, since 2×14052098265408² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11603853 + ... + 12757491.

Almost surely, 2^{14052098265408} is an apocalyptic number.

14052098265408 is a gapful number since it is divisible by the number (18) 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 14052098265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25317321984000).

14052098265408 is an abundant number, since it is smaller than the sum of its proper divisors (36582545702592).

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

14052098265408 is a wasteful number, since it uses less digits than its factorization.

14052098265408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153739 (or 1153723 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 14052098265408 in words is "fourteen trillion, fifty-two billion, ninety-eight million, two hundred sixty-five thousand, four hundred eight".