1156353964896 has 384 divisors, whose sum is σ = 3413030100480. Its totient is φ = 340494336000.

The previous prime is 1156353964891. The next prime is 1156353964897. The reversal of 1156353964896 is 6984693536511.

Its product of digits (125971200) is a multiple of the sum of its prime factors (1350).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156353964891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1649577346 + ... + 1649578046.

It is an arithmetic number, because the mean of its divisors is an integer number (8888099220).

Almost surely, 2^{1156353964896} is an apocalyptic number.

1156353964896 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 1156353964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706515050240).

1156353964896 is an abundant number, since it is smaller than the sum of its proper divisors (2256676135584).

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

1156353964896 is a wasteful number, since it uses less digits than its factorization.

1156353964896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 66.

The spelling of 1156353964896 in words is "one trillion, one hundred fifty-six billion, three hundred fifty-three million, nine hundred sixty-four thousand, eight hundred ninety-six".