938552414121 has 80 divisors (see below), whose sum is σ = 1659113280000. Its totient is φ = 517342557312.

The previous prime is 938552414087. The next prime is 938552414143. The reversal of 938552414121 is 121414255839.

938552414121 is a `hidden beast` number, since 9 + 3 + 85 + 524 + 1 + 41 + 2 + 1 = 666.

938552414121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 938552414121 - 2¹⁴ = 938552397737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (938552414161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18110755 + ... + 18162503.

It is an arithmetic number, because the mean of its divisors is an integer number (20738916000).

Almost surely, 2^938552414121 is an apocalyptic number.

It is an amenable number.

938552414121 is a deficient number, since it is larger than the sum of its proper divisors (720560865879).

938552414121 is a wasteful number, since it uses less digits than its factorization.

938552414121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52900 (or 52891 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 938552414121 in words is "nine hundred thirty-eight billion, five hundred fifty-two million, four hundred fourteen thousand, one hundred twenty-one".