1093414848960 has 224 divisors, whose sum is σ = 3970667151360. Its totient is φ = 249726025728.

The previous prime is 1093414848949. The next prime is 1093414848983. The reversal of 1093414848960 is 698484143901.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1093414848960² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1093414848960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8531272 + ... + 8658488.

It is an arithmetic number, because the mean of its divisors is an integer number (17726192640).

Almost surely, 2^{1093414848960} is an apocalyptic number.

1093414848960 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 1093414848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985333575680).

1093414848960 is an abundant number, since it is smaller than the sum of its proper divisors (2877252302400).

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

1093414848960 is a wasteful number, since it uses less digits than its factorization.

1093414848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128523 (or 128513 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 57.

The spelling of 1093414848960 in words is "one trillion, ninety-three billion, four hundred fourteen million, eight hundred forty-eight thousand, nine hundred sixty".