10849455144960 has 256 divisors, whose sum is σ = 34734705513120. Its totient is φ = 2891773378560.

The previous prime is 10849455144959. The next prime is 10849455144989. The reversal of 10849455144960 is 6944155494801.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×10849455144960² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 10849455144894 and 10849455144903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1347252294 + ... + 1347260346.

Almost surely, 2^{10849455144960} is an apocalyptic number.

10849455144960 is a gapful number since it is divisible by the number (10) 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 10849455144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367352756560).

10849455144960 is an abundant number, since it is smaller than the sum of its proper divisors (23885250368160).

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

10849455144960 is an frugal number, since it uses more digits than its factorization.

10849455144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10832 (or 10804 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 10849455144960 in words is "ten trillion, eight hundred forty-nine billion, four hundred fifty-five million, one hundred forty-four thousand, nine hundred sixty".