10346142437764 has 27 divisors (see below), whose sum is σ = 21061881634437. Its totient is φ = 4434041745504.

The previous prime is 10346142437731. The next prime is 10346142437809. The reversal of 10346142437764 is 46773424164301.

The square root of 10346142437764 is 3216542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8351811002500 + 1994331435264 = 2889950^2 + 1412208^2 .

It is a super-2 number, since 2×10346142437764² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 44916712 + ... + 45146464.

Almost surely, 2^{10346142437764} is an apocalyptic number.

10346142437764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10346142437764 is the 3216542-nd square number.

It is an amenable number.

10346142437764 is an abundant number, since it is smaller than the sum of its proper divisors (10715739196673).

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

10346142437764 is an frugal number, since it uses more digits than its factorization.

10346142437764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459524 (or 229762 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 52.

The spelling of 10346142437764 in words is "ten trillion, three hundred forty-six billion, one hundred forty-two million, four hundred thirty-seven thousand, seven hundred sixty-four".