2985143151744 has 128 divisors (see below), whose sum is σ = 9488035267200. Its totient is φ = 918505571328.

The previous prime is 2985143151743. The next prime is 2985143151763. The reversal of 2985143151744 is 4471513415892.

2985143151744 is a `hidden beast` number, since 2 + 9 + 8 + 51 + 4 + 31 + 517 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2985143151744² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2985143151743) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33176484 + ... + 33266339.

It is an arithmetic number, because the mean of its divisors is an integer number (74125275525).

Almost surely, 2^{2985143151744} is an apocalyptic number.

2985143151744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2985143151744 is an abundant number, since it is smaller than the sum of its proper divisors (6502892115456).

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

2985143151744 is a wasteful number, since it uses less digits than its factorization.

2985143151744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66442859 (or 66442841 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 2985143151744 in words is "two trillion, nine hundred eighty-five billion, one hundred forty-three million, one hundred fifty-one thousand, seven hundred forty-four".