10146250233344 has 320 divisors, whose sum is σ = 22762320261120. Its totient is φ = 4498550784000.

The previous prime is 10146250233341. The next prime is 10146250233359. The reversal of 10146250233344 is 44333205264101.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 10146250233298 and 10146250233307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146250233341) 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 31 ways as a sum of consecutive naturals, for example, 1134795914 + ... + 1134804854.

It is an arithmetic number, because the mean of its divisors is an integer number (71132250816).

Almost surely, 2^{10146250233344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10146250233344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381160130560).

10146250233344 is an abundant number, since it is smaller than the sum of its proper divisors (12616070027776).

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

10146250233344 is an equidigital number, since it uses as much as digits as its factorization.

10146250233344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9133 (or 9117 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

Adding to 10146250233344 its reverse (44333205264101), we get a palindrome (54479455497445).

The spelling of 10146250233344 in words is "ten trillion, one hundred forty-six billion, two hundred fifty million, two hundred thirty-three thousand, three hundred forty-four".