1154368440096 has 576 divisors, whose sum is σ = 3415027682304. Its totient is φ = 340918272000.

The previous prime is 1154368440067. The next prime is 1154368440217. The reversal of 1154368440096 is 6900448634511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8426046940 + ... + 8426047076.

It is an arithmetic number, because the mean of its divisors is an integer number (5928867504).

Almost surely, 2^{1154368440096} is an apocalyptic number.

1154368440096 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 1154368440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707513841152).

1154368440096 is an abundant number, since it is smaller than the sum of its proper divisors (2260659242208).

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

1154368440096 is a wasteful number, since it uses less digits than its factorization.

1154368440096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 1154368440096 in words is "one trillion, one hundred fifty-four billion, three hundred sixty-eight million, four hundred forty thousand, ninety-six".