10954504638081 has 15 divisors (see below), whose sum is σ = 16364181056113. Its totient is φ = 7302983233500.

The previous prime is 10954504638071. The next prime is 10954504638127. The reversal of 10954504638081 is 18083640545901.

It is a happy number.

The square root of 10954504638081 is 3309759.

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

10954504638081 is a `hidden beast` number, since 1 + 0 + 9 + 54 + 50 + 463 + 8 + 0 + 81 = 666.

It is not a de Polignac number, because 10954504638081 - 2³⁷ = 10817065684609 is a prime.

It is a super-2 number, since 2×10954504638081² (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 (10954504638031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29603956 + ... + 29971706.

Almost surely, 2^{10954504638081} is an apocalyptic number.

10954504638081 is the 3309759-th square number.

10954504638081 is the 1654880-th centered octagonal number.

It is an amenable number.

10954504638081 is a deficient number, since it is larger than the sum of its proper divisors (5409676418032).

10954504638081 is an frugal number, since it uses more digits than its factorization.

10954504638081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735514 (or 367754 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 10954504638081 in words is "ten trillion, nine hundred fifty-four billion, five hundred four million, six hundred thirty-eight thousand, eighty-one".