10158425845344 has 384 divisors, whose sum is σ = 35364858439680. Its totient is φ = 2773764145152.

The previous prime is 10158425845327. The next prime is 10158425845363. The reversal of 10158425845344 is 44354852485101.

10158425845344 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 8 + 4 + 2 + 584 + 53 + 4 + 4 = 666.

It is a super-2 number, since 2×10158425845344² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160355244 + ... + 160418580.

It is an arithmetic number, because the mean of its divisors is an integer number (92095985520).

Almost surely, 2^{10158425845344} is an apocalyptic number.

10158425845344 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 10158425845344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17682429219840).

10158425845344 is an abundant number, since it is smaller than the sum of its proper divisors (25206432594336).

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

10158425845344 is a wasteful number, since it uses less digits than its factorization.

10158425845344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64539 (or 64525 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 10158425845344 in words is "ten trillion, one hundred fifty-eight billion, four hundred twenty-five million, eight hundred forty-five thousand, three hundred forty-four".