13834066944 has 88 divisors (see below), whose sum is σ = 38062540288. Its totient is φ = 4462571520.

The previous prime is 13834066921. The next prime is 13834066951. The reversal of 13834066944 is 44966043831.

It is a super-2 number, since 2×13834066944² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13834066893 and 13834066902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22599 + ... + 167865.

Almost surely, 2^13834066944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13834066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031270144).

13834066944 is an abundant number, since it is smaller than the sum of its proper divisors (24228473344).

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

13834066944 is a wasteful number, since it uses less digits than its factorization.

13834066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145321 (or 145303 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 13834066944 in words is "thirteen billion, eight hundred thirty-four million, sixty-six thousand, nine hundred forty-four".