10092414044736 has 105 divisors (see below), whose sum is σ = 29917754948851. Its totient is φ = 3364061770368.

The previous prime is 10092414044723. The next prime is 10092414044813. The reversal of 10092414044736 is 63744041429001.

The square root of 10092414044736 is 3176856.

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

10092414044736 is a `hidden beast` number, since 10 + 0 + 9 + 24 + 140 + 4 + 473 + 6 = 666.

It is a super-3 number, since 3×10092414044736³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10092414044691 and 10092414044700.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 228711571 + ... + 228755693.

Almost surely, 2^{10092414044736} is an apocalyptic number.

10092414044736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10092414044736 is the 3176856-th square number.

It is an amenable number.

10092414044736 is an abundant number, since it is smaller than the sum of its proper divisors (19825340904115).

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

10092414044736 is an frugal number, since it uses more digits than its factorization.

10092414044736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88270 (or 44128 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10092414044736 in words is "ten trillion, ninety-two billion, four hundred fourteen million, forty-four thousand, seven hundred thirty-six".