1156815097344 has 120 divisors (see below), whose sum is σ = 3355947964512. Its totient is φ = 383606784000.

The previous prime is 1156815097267. The next prime is 1156815097349. The reversal of 1156815097344 is 4437905186511.

1156815097344 is a `hidden beast` number, since 1 + 1 + 5 + 68 + 1 + 509 + 73 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1156815097349) 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 11 ways as a sum of consecutive naturals, for example, 238969 + ... + 1539719.

Almost surely, 2^{1156815097344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156815097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677973982256).

1156815097344 is an abundant number, since it is smaller than the sum of its proper divisors (2199132867168).

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

1156815097344 is a wasteful number, since it uses less digits than its factorization.

1156815097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300968 (or 1300949 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1156815097344 in words is "one trillion, one hundred fifty-six billion, eight hundred fifteen million, ninety-seven thousand, three hundred forty-four".