1093306931640 has 1728 divisors, whose sum is σ = 4798030723200. Its totient is φ = 221625331200.

The previous prime is 1093306931627. The next prime is 1093306931677. The reversal of 1093306931640 is 461396033901.

1093306931640 is a `hidden beast` number, since 10 + 93 + 306 + 93 + 164 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8345854375 + ... + 8345854505.

It is an arithmetic number, because the mean of its divisors is an integer number (2776638150).

Almost surely, 2^{1093306931640} is an apocalyptic number.

1093306931640 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 1093306931640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399015361600).

1093306931640 is an abundant number, since it is smaller than the sum of its proper divisors (3704723791560).

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

1093306931640 is a wasteful number, since it uses less digits than its factorization.

1093306931640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 1093306931640 in words is "one trillion, ninety-three billion, three hundred six million, nine hundred thirty-one thousand, six hundred forty".