1101448864152 has 1536 divisors, whose sum is σ = 4259282227200. Its totient is φ = 260242440192.

The previous prime is 1101448864091. The next prime is 1101448864171. The reversal of 1101448864152 is 2514688441011.

1101448864152 is a `hidden beast` number, since 1 + 1 + 0 + 14 + 488 + 6 + 4 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1101448864098 and 1101448864107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4727248228 + ... + 4727248460.

It is an arithmetic number, because the mean of its divisors is an integer number (2772970200).

Almost surely, 2^{1101448864152} is an apocalyptic number.

1101448864152 is a gapful number since it is divisible by the number (12) 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 1101448864152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129641113600).

1101448864152 is an abundant number, since it is smaller than the sum of its proper divisors (3157833363048).

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

1101448864152 is a wasteful number, since it uses less digits than its factorization.

1101448864152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 1101448864152 in words is "one trillion, one hundred one billion, four hundred forty-eight million, eight hundred sixty-four thousand, one hundred fifty-two".