13829048560054 has 32 divisors (see below), whose sum is σ = 25714224264960. Its totient is φ = 5431473880992.

The previous prime is 13829048559701. The next prime is 13829048560417. The reversal of 13829048560054 is 45006584092831.

It is a super-2 number, since 2×13829048560054² (a number of 27 digits) contains 22 as substring.

It is a lonely number, since its distance to closest prime (13829048559701) sets a new record.

It is a junction number, because it is equal to n+sod(n) for n = 13829048559977 and 13829048560004.

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, 273297664 + ... + 273348259.

It is an arithmetic number, because the mean of its divisors is an integer number (803569508280).

Almost surely, 2^{13829048560054} is an apocalyptic number.

13829048560054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13829048560054 is a deficient number, since it is larger than the sum of its proper divisors (11885175704906).

13829048560054 is a wasteful number, since it uses less digits than its factorization.

13829048560054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546646084.

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 13829048560054 in words is "thirteen trillion, eight hundred twenty-nine billion, forty-eight million, five hundred sixty thousand, fifty-four".