1144644145020 has 144 divisors (see below), whose sum is σ = 3691407650112. Its totient is φ = 286458332160.

The previous prime is 1144644145003. The next prime is 1144644145037. The reversal of 1144644145020 is 205414464411.

1144644145020 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 644 + 1 + 4 + 5 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1144644145003) and next prime (1144644145037).

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

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 47 ways as a sum of consecutive naturals, for example, 2388921 + ... + 2827760.

It is an arithmetic number, because the mean of its divisors is an integer number (25634775348).

Almost surely, 2^{1144644145020} is an apocalyptic number.

1144644145020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144644145020 is an abundant number, since it is smaller than the sum of its proper divisors (2546763505092).

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

1144644145020 is a wasteful number, since it uses less digits than its factorization.

1144644145020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216772 (or 5216767 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 1144644145020 in words is "one trillion, one hundred forty-four billion, six hundred forty-four million, one hundred forty-five thousand, twenty".