38259458285568 has 448 divisors, whose sum is σ = 113789152468992. Its totient is φ = 11354383319040.

The previous prime is 38259458285567. The next prime is 38259458285569. The reversal of 38259458285568 is 86558285495283.

It is an interprime number because it is at equal distance from previous prime (38259458285567) and next prime (38259458285569).

It is a super-2 number, since 2×38259458285568² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 38259458285493 and 38259458285502.

It is not an unprimeable number, because it can be changed into a prime (38259458285567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3040561005 + ... + 3040573587.

It is an arithmetic number, because the mean of its divisors is an integer number (253993643904).

Almost surely, 2^{38259458285568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38259458285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56894576234496).

38259458285568 is an abundant number, since it is smaller than the sum of its proper divisors (75529694183424).

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

38259458285568 is a wasteful number, since it uses less digits than its factorization.

38259458285568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12963 (or 12939 counting only the distinct ones).

The product of its digits is 6635520000, while the sum is 78.

The spelling of 38259458285568 in words is "thirty-eight trillion, two hundred fifty-nine billion, four hundred fifty-eight million, two hundred eighty-five thousand, five hundred sixty-eight".