10495889349696 has 63 divisors (see below), whose sum is σ = 30084794598261. Its totient is φ = 3498603865344.

The previous prime is 10495889349667. The next prime is 10495889349719. The reversal of 10495889349696 is 69694398859401.

The square root of 10495889349696 is 3239736.

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

10495889349696 is a `hidden beast` number, since 1 + 0 + 49 + 5 + 8 + 89 + 3 + 496 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9954428844096 + 541460505600 = 3155064^2 + 735840^2 .

It is a super-2 number, since 2×10495889349696² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77686170 + ... + 77821158.

Almost surely, 2^{10495889349696} is an apocalyptic number.

10495889349696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10495889349696 is the 3239736-th square number.

It is an amenable number.

10495889349696 is an abundant number, since it is smaller than the sum of its proper divisors (19588905248565).

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

10495889349696 is an frugal number, since it uses more digits than its factorization.

10495889349696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269996 (or 134994 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

Multiplying 10495889349696 by its sum of digits (81), we get a square (850167037325376 = 29157624²).

The spelling of 10495889349696 in words is "ten trillion, four hundred ninety-five billion, eight hundred eighty-nine million, three hundred forty-nine thousand, six hundred ninety-six".