938547665055 has 384 divisors, whose sum is σ = 2248369643520. Its totient is φ = 349575367680.

The previous prime is 938547665053. The next prime is 938547665057. The reversal of 938547665055 is 550566745839.

It is a happy number.

938547665055 is a `hidden beast` number, since 9 + 3 + 8 + 54 + 76 + 6 + 505 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (938547665053) and next prime (938547665057).

It is not a de Polignac number, because 938547665055 - 2¹ = 938547665053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 938547664983 and 938547665001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938547665053) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 346710012 + ... + 346712718.

It is an arithmetic number, because the mean of its divisors is an integer number (5855129280).

Almost surely, 2^938547665055 is an apocalyptic number.

938547665055 is an abundant number, since it is smaller than the sum of its proper divisors (1309821978465).

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

938547665055 is a wasteful number, since it uses less digits than its factorization.

938547665055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 938547665055 in words is "nine hundred thirty-eight billion, five hundred forty-seven million, six hundred sixty-five thousand, fifty-five".