1156102447104 has 896 divisors, whose sum is σ = 3991685184000. Its totient is φ = 326998425600.

The previous prime is 1156102447099. The next prime is 1156102447111. The reversal of 1156102447104 is 4017442016511.

1156102447104 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 102 + 447 + 104 = 666.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4114243444 + ... + 4114243724.

Almost surely, 2^{1156102447104} 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 1156102447104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995842592000).

1156102447104 is an abundant number, since it is smaller than the sum of its proper divisors (2835582736896).

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

1156102447104 is a wasteful number, since it uses less digits than its factorization.

1156102447104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1156102447104 in words is "one trillion, one hundred fifty-six billion, one hundred two million, four hundred forty-seven thousand, one hundred four".