10226742354 has 96 divisors (see below), whose sum is σ = 23309133120. Its totient is φ = 3237148800.

The previous prime is 10226742349. The next prime is 10226742373. The reversal of 10226742354 is 45324762201.

10226742354 is a `hidden beast` number, since 1 + 0 + 2 + 267 + 42 + 354 = 666.

It is a super-3 number, since 3×10226742354³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646109 + ... + 5647919.

It is an arithmetic number, because the mean of its divisors is an integer number (242803470).

Almost surely, 2^10226742354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10226742354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654566560).

10226742354 is an abundant number, since it is smaller than the sum of its proper divisors (13082390766).

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

10226742354 is a wasteful number, since it uses less digits than its factorization.

10226742354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10226742354 in words is "ten billion, two hundred twenty-six million, seven hundred forty-two thousand, three hundred fifty-four".