10387214143488 has 2184 divisors, whose sum is σ = 40236725050368. Its totient is φ = 2654706991104.

The previous prime is 10387214143469. The next prime is 10387214143517. The reversal of 10387214143488 is 88434141278301.

10387214143488 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 7 + 2 + 14 + 143 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (2184).

It is a super-2 number, since 2×10387214143488² (a number of 27 digits) contains 22 as substring.

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

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 167 ways as a sum of consecutive naturals, for example, 81789087681 + ... + 81789087807.

Almost surely, 2^{10387214143488} is an apocalyptic number.

10387214143488 is a gapful number since it is divisible by the number (18) 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 10387214143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20118362525184).

10387214143488 is an abundant number, since it is smaller than the sum of its proper divisors (29849510906880).

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

10387214143488 is an equidigital number, since it uses as much as digits as its factorization.

10387214143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 10387214143488 in words is "ten trillion, three hundred eighty-seven billion, two hundred fourteen million, one hundred forty-three thousand, four hundred eighty-eight".