123766985151 has 48 divisors (see below), whose sum is σ = 186574752000. Its totient is φ = 81987795648.

The previous prime is 123766985129. The next prime is 123766985159. The reversal of 123766985151 is 151589667321.

123766985151 is a `hidden beast` number, since 1 + 2 + 37 + 6 + 6 + 98 + 515 + 1 = 666.

It is not a de Polignac number, because 123766985151 - 2⁵ = 123766985119 is a prime.

It is a super-3 number, since 3×123766985151³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123766985159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54593920 + ... + 54596186.

It is an arithmetic number, because the mean of its divisors is an integer number (3886974000).

Almost surely, 2^123766985151 is an apocalyptic number.

123766985151 is a deficient number, since it is larger than the sum of its proper divisors (62807766849).

123766985151 is a wasteful number, since it uses less digits than its factorization.

123766985151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3598 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 123766985151 in words is "one hundred twenty-three billion, seven hundred sixty-six million, nine hundred eighty-five thousand, one hundred fifty-one".