10046143744 has 144 divisors (see below), whose sum is σ = 26133504768. Its totient is φ = 3740368896.

The previous prime is 10046143739. The next prime is 10046143753. The reversal of 10046143744 is 44734164001.

10046143744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10046143744² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 383349 + ... + 408715.

It is an arithmetic number, because the mean of its divisors is an integer number (181482672).

Almost surely, 2^10046143744 is an apocalyptic number.

10046143744 is a gapful number since it is divisible by the number (14) 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 10046143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13066752384).

10046143744 is an abundant number, since it is smaller than the sum of its proper divisors (16087361024).

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

10046143744 is a wasteful number, since it uses less digits than its factorization.

10046143744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25420 (or 25406 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 10046143744 in words is "ten billion, forty-six million, one hundred forty-three thousand, seven hundred forty-four".