38245061844864 has 640 divisors, whose sum is σ = 131315878425600. Its totient is φ = 10823445504000.

The previous prime is 38245061844851. The next prime is 38245061844889. The reversal of 38245061844864 is 46844816054283.

It is a happy number.

38245061844864 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 5 + 0 + 618 + 4 + 4 + 8 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3934267524 + ... + 3934277244.

It is an arithmetic number, because the mean of its divisors is an integer number (205181060040).

Almost surely, 2^{38245061844864} 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 38245061844864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65657939212800).

38245061844864 is an abundant number, since it is smaller than the sum of its proper divisors (93070816580736).

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

38245061844864 is a wasteful number, since it uses less digits than its factorization.

38245061844864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264 (or 10243 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 38245061844864 in words is "thirty-eight trillion, two hundred forty-five billion, sixty-one million, eight hundred forty-four thousand, eight hundred sixty-four".