10341834048 has 336 divisors, whose sum is σ = 36710209536. Its totient is φ = 2710609920.

The previous prime is 10341834047. The next prime is 10341834049. The reversal of 10341834048 is 84043814301.

It is an interprime number because it is at equal distance from previous prime (10341834047) and next prime (10341834049).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341834047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10010940 + ... + 10011972.

It is an arithmetic number, because the mean of its divisors is an integer number (109256576).

Almost surely, 2^10341834048 is an apocalyptic number.

10341834048 is a gapful number since it is divisible by the number (18) 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 10341834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355104768).

10341834048 is an abundant number, since it is smaller than the sum of its proper divisors (26368375488).

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

10341834048 is a wasteful number, since it uses less digits than its factorization.

10341834048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10341834048 in words is "ten billion, three hundred forty-one million, eight hundred thirty-four thousand, forty-eight".