13918614435840 has 192 divisors, whose sum is σ = 45155864033280. Its totient is φ = 3659353456640.

The previous prime is 13918614435811. The next prime is 13918614435917. The reversal of 13918614435840 is 4853441681931.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1009584 + ... + 5371823.

It is an arithmetic number, because the mean of its divisors is an integer number (235186791840).

Almost surely, 2^{13918614435840} is an apocalyptic number.

13918614435840 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 13918614435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22577932016640).

13918614435840 is an abundant number, since it is smaller than the sum of its proper divisors (31237249597440).

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

13918614435840 is an equidigital number, since it uses as much as digits as its factorization.

13918614435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6381508 (or 6381488 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 13918614435840 in words is "thirteen trillion, nine hundred eighteen billion, six hundred fourteen million, four hundred thirty-five thousand, eight hundred forty".