1147263444000 has 288 divisors, whose sum is σ = 4111964241840. Its totient is φ = 302906880000.

The previous prime is 1147263443999. The next prime is 1147263444043. The reversal of 1147263444000 is 4443627411.

1147263444000 is a `hidden beast` number, since 1 + 14 + 7 + 2 + 634 + 4 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22145011344 + 1125118432656 = 148812^2 + 1060716^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1147263444000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3478236 + ... + 3793764.

Almost surely, 2^{1147263444000} is an apocalyptic number.

1147263444000 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 1147263444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055982120920).

1147263444000 is an abundant number, since it is smaller than the sum of its proper divisors (2964700797840).

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

1147263444000 is a wasteful number, since it uses less digits than its factorization.

1147263444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315661 (or 315640 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1147263444000 in words is "one trillion, one hundred forty-seven billion, two hundred sixty-three million, four hundred forty-four thousand".