10844898964416 has 560 divisors, whose sum is σ = 35647211001600. Its totient is φ = 3232412282880.

The previous prime is 10844898964411. The next prime is 10844898964433. The reversal of 10844898964416 is 61446989844801.

10844898964416 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 4 + 8 + 98 + 96 + 441 + 6 = 666.

It is a super-2 number, since 2×10844898964416² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10844898964411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3144358660 + ... + 3144362108.

Almost surely, 2^{10844898964416} is an apocalyptic number.

10844898964416 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 10844898964416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823605500800).

10844898964416 is an abundant number, since it is smaller than the sum of its proper divisors (24802312037184).

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

10844898964416 is a wasteful number, since it uses less digits than its factorization.

10844898964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4355 counting only the distinct ones).

The product of its (nonzero) digits is 382205952, while the sum is 72.

The spelling of 10844898964416 in words is "ten trillion, eight hundred forty-four billion, eight hundred ninety-eight million, nine hundred sixty-four thousand, four hundred sixteen".