13983837954048 has 448 divisors, whose sum is σ = 41833018005120. Its totient is φ = 4616283488256.

The previous prime is 13983837954017. The next prime is 13983837954067. The reversal of 13983837954048 is 84045973838931.

13983837954048 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 3 + 8 + 3 + 79 + 540 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 14313037336 + ... + 14313038312.

Almost surely, 2^{13983837954048} is an apocalyptic number.

13983837954048 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 13983837954048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20916509002560).

13983837954048 is an abundant number, since it is smaller than the sum of its proper divisors (27849180051072).

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

13983837954048 is an equidigital number, since it uses as much as digits as its factorization.

13983837954048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 13983837954048 in words is "thirteen trillion, nine hundred eighty-three billion, eight hundred thirty-seven million, nine hundred fifty-four thousand, forty-eight".