10733696117824 has 21 divisors (see below), whose sum is σ = 21299730244117. Its totient is φ = 5366834953984.

The previous prime is 10733696117819. The next prime is 10733696117827. The reversal of 10733696117824 is 42871169633701.

It is a happy number.

The square root of 10733696117824 is 3276232.

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., 1102852828224 + 9630843289600 = 1050168^2 + 3103360^2 .

It is a super-3 number, since 3×10733696117824³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10733696117827) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 26005092 + ... + 26414620.

Almost surely, 2^{10733696117824} is an apocalyptic number.

10733696117824 is the 3276232-nd square number.

It is an amenable number.

10733696117824 is a deficient number, since it is larger than the sum of its proper divisors (10566034126293).

10733696117824 is an frugal number, since it uses more digits than its factorization.

10733696117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819070 (or 409531 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 10733696117824 in words is "ten trillion, seven hundred thirty-three billion, six hundred ninety-six million, one hundred seventeen thousand, eight hundred twenty-four".