123154528445001 has 45 divisors (see below), whose sum is σ = 187790895814301. Its totient is φ = 77774216748264.

The previous prime is 123154528444993. The next prime is 123154528445017. The reversal of 123154528445001 is 100544825451321.

The square root of 123154528445001 is 11097501.

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

123154528445001 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 54 + 52 + 8 + 44 + 500 + 1 = 666.

It is not a de Polignac number, because 123154528445001 - 2³ = 123154528444993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123154528445071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12018588460 + ... + 12018598706.

Almost surely, 2^{123154528445001} is an apocalyptic number.

123154528445001 is the 11097501-st square number.

123154528445001 is the 5548751-st centered octagonal number.

It is an amenable number.

123154528445001 is a deficient number, since it is larger than the sum of its proper divisors (64636367369300).

123154528445001 is an frugal number, since it uses more digits than its factorization.

123154528445001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20576 (or 10269 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 123154528445001 in words is "one hundred twenty-three trillion, one hundred fifty-four billion, five hundred twenty-eight million, four hundred forty-five thousand, one".