38462642436288 has 112 divisors (see below), whose sum is σ = 117370711420160. Its totient is φ = 10888506860544.

The previous prime is 38462642436287. The next prime is 38462642436341. The reversal of 38462642436288 is 88263424626483.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×38462642436288² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (38462642436287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131128906 + ... + 131421897.

Almost surely, 2^{38462642436288} is an apocalyptic number.

It is an amenable number.

38462642436288 is an abundant number, since it is smaller than the sum of its proper divisors (78908068983872).

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

38462642436288 is a wasteful number, since it uses less digits than its factorization.

38462642436288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262550934 (or 262550924 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 66.

The spelling of 38462642436288 in words is "thirty-eight trillion, four hundred sixty-two billion, six hundred forty-two million, four hundred thirty-six thousand, two hundred eighty-eight".