10705616982144 has 1536 divisors, whose sum is σ = 39385548864000. Its totient is φ = 2802644582400.

The previous prime is 10705616982119. The next prime is 10705616982241. The reversal of 10705616982144 is 44128961650701.

10705616982144 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 5 + 616 + 9 + 8 + 2 + 14 + 4 = 666.

It is a super-2 number, since 2×10705616982144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 46749419022 + ... + 46749419250.

It is an arithmetic number, because the mean of its divisors is an integer number (25641633375).

Almost surely, 2^{10705616982144} is an apocalyptic number.

10705616982144 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 10705616982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692774432000).

10705616982144 is an abundant number, since it is smaller than the sum of its proper divisors (28679931881856).

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

10705616982144 is a wasteful number, since it uses less digits than its factorization.

10705616982144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 10705616982144 in words is "ten trillion, seven hundred five billion, six hundred sixteen million, nine hundred eighty-two thousand, one hundred forty-four".