10944492701688 has 1152 divisors, whose sum is σ = 39640365273600. Its totient is φ = 2802770740224.

The previous prime is 10944492701663. The next prime is 10944492701693. The reversal of 10944492701688 is 88610729444901.

10944492701688 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 449 + 27 + 0 + 168 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6760031743 + ... + 6760033361.

It is an arithmetic number, because the mean of its divisors is an integer number (34410039300).

Almost surely, 2^{10944492701688} is an apocalyptic number.

10944492701688 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 10944492701688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820182636800).

10944492701688 is an abundant number, since it is smaller than the sum of its proper divisors (28695872571912).

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

10944492701688 is a wasteful number, since it uses less digits than its factorization.

10944492701688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 10944492701688 in words is "ten trillion, nine hundred forty-four billion, four hundred ninety-two million, seven hundred one thousand, six hundred eighty-eight".