38064184299648 has 192 divisors, whose sum is σ = 118014825965400. Its totient is φ = 11706545700864.

The previous prime is 38064184299563. The next prime is 38064184299653. The reversal of 38064184299648 is 84699248146083.

38064184299648 is a `hidden beast` number, since 3 + 8 + 0 + 64 + 18 + 429 + 96 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28243782702144 + 9820401597504 = 5314488^2 + 3133752^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31286986 + ... + 32480822.

Almost surely, 2^{38064184299648} 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 38064184299648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59007412982700).

38064184299648 is an abundant number, since it is smaller than the sum of its proper divisors (79950641665752).

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

38064184299648 is a wasteful number, since it uses less digits than its factorization.

38064184299648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195999 (or 1195984 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 38064184299648 in words is "thirty-eight trillion, sixty-four billion, one hundred eighty-four million, two hundred ninety-nine thousand, six hundred forty-eight".