34016226251 has 48 divisors (see below), whose sum is σ = 42375168000. Its totient is φ = 27165741120.

The previous prime is 34016226229. The next prime is 34016226269. The reversal of 34016226251 is 15262261043.

It is not a de Polignac number, because 34016226251 - 2¹⁴ = 34016209867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34016526251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19337510 + ... + 19339268.

It is an arithmetic number, because the mean of its divisors is an integer number (882816000).

Almost surely, 2^34016226251 is an apocalyptic number.

34016226251 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34016226251 is a deficient number, since it is larger than the sum of its proper divisors (8358941749).

34016226251 is a wasteful number, since it uses less digits than its factorization.

34016226251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 34016226251 its reverse (15262261043), we get a palindrome (49278487294).

The spelling of 34016226251 in words is "thirty-four billion, sixteen million, two hundred twenty-six thousand, two hundred fifty-one".