1149284476800 has 576 divisors, whose sum is σ = 4379268816000. Its totient is φ = 286355865600.

The previous prime is 1149284476789. The next prime is 1149284476807. The reversal of 1149284476800 is 86744829411.

1149284476800 is a `hidden beast` number, since 1 + 1 + 4 + 92 + 8 + 4 + 476 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1149284476800² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149284476807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25869006 + ... + 25913394.

It is an arithmetic number, because the mean of its divisors is an integer number (7602897250).

Almost surely, 2^{1149284476800} is an apocalyptic number.

1149284476800 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 1149284476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189634408000).

1149284476800 is an abundant number, since it is smaller than the sum of its proper divisors (3229984339200).

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

1149284476800 is a wasteful number, since it uses less digits than its factorization.

1149284476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44479 (or 44459 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1149284476800 in words is "one trillion, one hundred forty-nine billion, two hundred eighty-four million, four hundred seventy-six thousand, eight hundred".