38016459648 has 384 divisors, whose sum is σ = 118690790400. Its totient is φ = 12098211840.

The previous prime is 38016459641. The next prime is 38016459653. The reversal of 38016459648 is 84695461083.

38016459648 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 6 + 4 + 596 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38016459594 and 38016459603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38016459641) 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, 85815715 + ... + 85816157.

It is an arithmetic number, because the mean of its divisors is an integer number (309090600).

Almost surely, 2^38016459648 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 38016459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59345395200).

38016459648 is an abundant number, since it is smaller than the sum of its proper divisors (80674330752).

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

38016459648 is an equidigital number, since it uses as much as digits as its factorization.

38016459648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38016459648 in words is "thirty-eight billion, sixteen million, four hundred fifty-nine thousand, six hundred forty-eight".