1154048448000 has 1280 divisors, whose sum is σ = 4727685980160. Its totient is φ = 243855360000.

The previous prime is 1154048447989. The next prime is 1154048448029. The reversal of 1154048448000 is 8448404511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 1154048448000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1098047475 + ... + 1098048525.

It is an arithmetic number, because the mean of its divisors is an integer number (3693504672).

Almost surely, 2^{1154048448000} is an apocalyptic number.

1154048448000 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 1154048448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363842990080).

1154048448000 is an abundant number, since it is smaller than the sum of its proper divisors (3573637532160).

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

1154048448000 is a wasteful number, since it uses less digits than its factorization.

1154048448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 1154048448000 in words is "one trillion, one hundred fifty-four billion, forty-eight million, four hundred forty-eight thousand".