10126464348 has 288 divisors, whose sum is σ = 32222550528. Its totient is φ = 2408440320.

The previous prime is 10126464319. The next prime is 10126464349. The reversal of 10126464348 is 84346462101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10126464349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22858615 + ... + 22859057.

It is an arithmetic number, because the mean of its divisors is an integer number (111883856).

Almost surely, 2^10126464348 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 10126464348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16111275264).

10126464348 is an abundant number, since it is smaller than the sum of its proper divisors (22096086180).

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

10126464348 is a wasteful number, since it uses less digits than its factorization.

10126464348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

It can be divided in two parts, 10126 and 464348, that added together give a palindrome (474474).

The spelling of 10126464348 in words is "ten billion, one hundred twenty-six million, four hundred sixty-four thousand, three hundred forty-eight".