10705049341056 has 1536 divisors, whose sum is σ = 41335190507520. Its totient is φ = 2685474570240.

The previous prime is 10705049341037. The next prime is 10705049341117. The reversal of 10705049341056 is 65014394050701.

10705049341056 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 50 + 493 + 4 + 105 + 6 = 666.

It is a super-2 number, since 2×10705049341056² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3490396035 + ... + 3490399101.

It is an arithmetic number, because the mean of its divisors is an integer number (26910931320).

Almost surely, 2^{10705049341056} is an apocalyptic number.

10705049341056 is a gapful number since it is divisible by the number (16) 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 10705049341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20667595253760).

10705049341056 is an abundant number, since it is smaller than the sum of its proper divisors (30630141166464).

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

10705049341056 is a wasteful number, since it uses less digits than its factorization.

10705049341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10705049341056 in words is "ten trillion, seven hundred five billion, forty-nine million, three hundred forty-one thousand, fifty-six".