13876233105504 has 384 divisors, whose sum is σ = 47558846103552. Its totient is φ = 3435053783040.

The previous prime is 13876233105499. The next prime is 13876233105509. The reversal of 13876233105504 is 40550133267831.

It is an interprime number because it is at equal distance from previous prime (13876233105499) and next prime (13876233105509).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13876233105509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46947109 + ... + 47241755.

It is an arithmetic number, because the mean of its divisors is an integer number (123851161728).

Almost surely, 2^{13876233105504} is an apocalyptic number.

13876233105504 is a gapful number since it is divisible by the number (14) 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 13876233105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23779423051776).

13876233105504 is an abundant number, since it is smaller than the sum of its proper divisors (33682612998048).

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

13876233105504 is a wasteful number, since it uses less digits than its factorization.

13876233105504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294978 (or 294970 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 13876233105504 in words is "thirteen trillion, eight hundred seventy-six billion, two hundred thirty-three million, one hundred five thousand, five hundred four".