1149475286016 has 528 divisors, whose sum is σ = 3622570332160. Its totient is φ = 349718446080.

The previous prime is 1149475285991. The next prime is 1149475286021. The reversal of 1149475286016 is 6106825749411.

1149475286016 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 4 + 7 + 5 + 28 + 601 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1992157920 + ... + 1992158496.

Almost surely, 2^{1149475286016} is an apocalyptic number.

1149475286016 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 1149475286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811285166080).

1149475286016 is an abundant number, since it is smaller than the sum of its proper divisors (2473095046144).

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

1149475286016 is a wasteful number, since it uses less digits than its factorization.

1149475286016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 999 counting only the distinct ones).

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

The spelling of 1149475286016 in words is "one trillion, one hundred forty-nine billion, four hundred seventy-five million, two hundred eighty-six thousand, sixteen".