10834371744 has 48 divisors (see below), whose sum is σ = 32503117248. Its totient is φ = 3095534592.

The previous prime is 10834371733. The next prime is 10834371749. The reversal of 10834371744 is 44717343801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×10834371744³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10834371696 and 10834371705.

It is not an unprimeable number, because it can be changed into a prime (10834371749) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8060617 + ... + 8061960.

It is an arithmetic number, because the mean of its divisors is an integer number (677148276).

Almost surely, 2^10834371744 is an apocalyptic number.

10834371744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10834371744 is an abundant number, since it is smaller than the sum of its proper divisors (21668745504).

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

10834371744 is a wasteful number, since it uses less digits than its factorization.

10834371744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16122597 (or 16122589 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 10834371744 in words is "ten billion, eight hundred thirty-four million, three hundred seventy-one thousand, seven hundred forty-four".