10133322490944 has 63 divisors (see below), whose sum is σ = 29045558277957. Its totient is φ = 3377748697344.

The previous prime is 10133322490927. The next prime is 10133322490961. The reversal of 10133322490944 is 44909422333101.

The square root of 10133322490944 is 3183288.

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

10133322490944 is a `hidden beast` number, since 1 + 0 + 1 + 333 + 224 + 9 + 0 + 94 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10133322490927) and next prime (10133322490961).

It can be written as a sum of positive squares in only one way, i.e., 7485710400 + 10125836780544 = 86520^2 + 3182112^2 .

It is a super-2 number, since 2×10133322490944² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10133322490944.

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, 76332594 + ... + 76465230.

Almost surely, 2^{10133322490944} is an apocalyptic number.

10133322490944 is the 3183288-th square number.

It is an amenable number.

10133322490944 is an abundant number, since it is smaller than the sum of its proper divisors (18912235787013).

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

10133322490944 is an frugal number, since it uses more digits than its factorization.

10133322490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265292 (or 132642 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 10133322490944 in words is "ten trillion, one hundred thirty-three billion, three hundred twenty-two million, four hundred ninety thousand, nine hundred forty-four".