1156145356800 has 2016 divisors, whose sum is σ = 5252463195840. Its totient is φ = 247726080000.

The previous prime is 1156145356789. The next prime is 1156145356829. The reversal of 1156145356800 is 86535416511.

It is a happy number.

1156145356800 is a `hidden beast` number, since 1 + 1 + 56 + 1 + 4 + 535 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4606156675 + ... + 4606156925.

It is an arithmetic number, because the mean of its divisors is an integer number (2605388490).

Almost surely, 2^{1156145356800} is an apocalyptic number.

1156145356800 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 1156145356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626231597920).

1156145356800 is an abundant number, since it is smaller than the sum of its proper divisors (4096317839040).

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

1156145356800 is a wasteful number, since it uses less digits than its factorization.

1156145356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 1156145356800 in words is "one trillion, one hundred fifty-six billion, one hundred forty-five million, three hundred fifty-six thousand, eight hundred".