1093948253352 has 224 divisors, whose sum is σ = 3259147622400. Its totient is φ = 342891366912.

The previous prime is 1093948253317. The next prime is 1093948253353. The reversal of 1093948253352 is 2533528493901.

1093948253352 is a `hidden beast` number, since 1 + 0 + 9 + 39 + 4 + 8 + 253 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1093948253353) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 126800863 + ... + 126809489.

Almost surely, 2^{1093948253352} is an apocalyptic number.

1093948253352 is a gapful number since it is divisible by the number (12) 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 1093948253352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629573811200).

1093948253352 is an abundant number, since it is smaller than the sum of its proper divisors (2165199369048).

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

1093948253352 is a wasteful number, since it uses less digits than its factorization.

1093948253352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9947 (or 9928 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1093948253352 in words is "one trillion, ninety-three billion, nine hundred forty-eight million, two hundred fifty-three thousand, three hundred fifty-two".