10844145962496 has 1920 divisors, whose sum is σ = 41696131276800. Its totient is φ = 2732573491200.

The previous prime is 10844145962437. The next prime is 10844145962557. The reversal of 10844145962496 is 69426954144801.

10844145962496 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 4 + 14 + 596 + 24 + 9 + 6 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72779503030 + ... + 72779503178.

It is an arithmetic number, because the mean of its divisors is an integer number (21716735040).

Almost surely, 2^{10844145962496} is an apocalyptic number.

10844145962496 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 10844145962496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848065638400).

10844145962496 is an abundant number, since it is smaller than the sum of its proper divisors (30851985314304).

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

10844145962496 is a wasteful number, since it uses less digits than its factorization.

10844145962496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 10844145962496 in words is "ten trillion, eight hundred forty-four billion, one hundred forty-five million, nine hundred sixty-two thousand, four hundred ninety-six".