13884269490504 has 256 divisors, whose sum is σ = 47893567488000. Its totient is φ = 3636917314560.

The previous prime is 13884269490491. The next prime is 13884269490541. The reversal of 13884269490504 is 40509496248831.

13884269490504 is a `hidden beast` number, since 1 + 3 + 8 + 84 + 2 + 6 + 9 + 49 + 0 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6904609 + ... + 8685744.

It is an arithmetic number, because the mean of its divisors is an integer number (187084248000).

Almost surely, 2^{13884269490504} is an apocalyptic number.

13884269490504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13884269490504 is an abundant number, since it is smaller than the sum of its proper divisors (34009297997496).

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

13884269490504 is a wasteful number, since it uses less digits than its factorization.

13884269490504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15590425 (or 15590415 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 13884269490504 in words is "thirteen trillion, eight hundred eighty-four billion, two hundred sixty-nine million, four hundred ninety thousand, five hundred four".