1073234313216 has 460 divisors, whose sum is σ = 3467313262952. Its totient is φ = 330225942528.

The previous prime is 1073234313191. The next prime is 1073234313271. The reversal of 1073234313216 is 6123134323701.

1073234313216 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 2 + 3 + 431 + 3 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82556485626 + ... + 82556485638.

Almost surely, 2^{1073234313216} is an apocalyptic number.

1073234313216 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 1073234313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733656631476).

1073234313216 is an abundant number, since it is smaller than the sum of its proper divisors (2394078949736).

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

1073234313216 is an frugal number, since it uses more digits than its factorization.

1073234313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Adding to 1073234313216 its reverse (6123134323701), we get a palindrome (7196368636917).

The spelling of 1073234313216 in words is "one trillion, seventy-three billion, two hundred thirty-four million, three hundred thirteen thousand, two hundred sixteen".