13858824474264 has 384 divisors, whose sum is σ = 44330805861120. Its totient is φ = 3570053760000.

The previous prime is 13858824474259. The next prime is 13858824474283. The reversal of 13858824474264 is 46247442885831.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 13858824474195 and 13858824474204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1131234139 + ... + 1131246389.

It is an arithmetic number, because the mean of its divisors is an integer number (115444806930).

Almost surely, 2^{13858824474264} is an apocalyptic number.

13858824474264 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 13858824474264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22165402930560).

13858824474264 is an abundant number, since it is smaller than the sum of its proper divisors (30471981386856).

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

13858824474264 is a wasteful number, since it uses less digits than its factorization.

13858824474264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999 (or 12988 counting only the distinct ones).

The product of its digits is 330301440, while the sum is 66.

The spelling of 13858824474264 in words is "thirteen trillion, eight hundred fifty-eight billion, eight hundred twenty-four million, four hundred seventy-four thousand, two hundred sixty-four".