1148536972800 has 2880 divisors, whose sum is σ = 5385750289920. Its totient is φ = 236330680320.

The previous prime is 1148536972789. The next prime is 1148536972831. The reversal of 1148536972800 is 82796358411.

1148536972800 is a `hidden beast` number, since 1 + 14 + 8 + 536 + 97 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10733990347 + ... + 10733990453.

It is an arithmetic number, because the mean of its divisors is an integer number (1870052184).

It is a 1-persistent number, because it is pandigital, but 2⋅1148536972800 = 2297073945600 is not.

Almost surely, 2^{1148536972800} is an apocalyptic number.

1148536972800 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 1148536972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692875144960).

1148536972800 is an abundant number, since it is smaller than the sum of its proper divisors (4237213317120).

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

1148536972800 is a wasteful number, since it uses less digits than its factorization.

1148536972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1148536972800 in words is "one trillion, one hundred forty-eight billion, five hundred thirty-six million, nine hundred seventy-two thousand, eight hundred".