10171583461264 has 45 divisors (see below), whose sum is σ = 19903206110769. Its totient is φ = 5035764496320.

The previous prime is 10171583461231. The next prime is 10171583461267. The reversal of 10171583461264 is 46216438517101.

The square root of 10171583461264 is 3189292.

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., 2090071621264 + 8081511840000 = 1445708^2 + 2842800^2 .

It is a super-2 number, since 2×10171583461264² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10171583461267) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1313984434 + ... + 1313992174.

Almost surely, 2^{10171583461264} is an apocalyptic number.

10171583461264 is the 3189292-nd square number.

It is an amenable number.

10171583461264 is a deficient number, since it is larger than the sum of its proper divisors (9731622649505).

10171583461264 is an frugal number, since it uses more digits than its factorization.

10171583461264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15696 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 10171583461264 by its sum of digits (49), we get a square (498407589601936 = 22325044²).

The spelling of 10171583461264 in words is "ten trillion, one hundred seventy-one billion, five hundred eighty-three million, four hundred sixty-one thousand, two hundred sixty-four".