13939949633148 has 288 divisors, whose sum is σ = 46560204407808. Its totient is φ = 3404555827200.

The previous prime is 13939949633143. The next prime is 13939949633149. The reversal of 13939949633148 is 84133694993931.

13939949633148 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 99 + 496 + 3 + 3 + 1 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13939949633143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49859161 + ... + 50137967.

It is an arithmetic number, because the mean of its divisors is an integer number (161667376416).

Almost surely, 2^{13939949633148} is an apocalyptic number.

13939949633148 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 13939949633148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23280102203904).

13939949633148 is an abundant number, since it is smaller than the sum of its proper divisors (32620254774660).

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

13939949633148 is a wasteful number, since it uses less digits than its factorization.

13939949633148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279913 (or 279908 counting only the distinct ones).

The product of its digits is 408146688, while the sum is 72.

The spelling of 13939949633148 in words is "thirteen trillion, nine hundred thirty-nine billion, nine hundred forty-nine million, six hundred thirty-three thousand, one hundred forty-eight".