38993463742464 has 3120 divisors, whose sum is σ = 156518152053120. Its totient is φ = 9551326740480.

The previous prime is 38993463742463. The next prime is 38993463742477. The reversal of 38993463742464 is 46424736439983.

38993463742464 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 3 + 4 + 6 + 374 + 246 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 38993463742392 and 38993463742401.

It is not an unprimeable number, because it can be changed into a prime (38993463742463) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 378577317837 + ... + 378577317939.

It is an arithmetic number, because the mean of its divisors is an integer number (50166074376).

Almost surely, 2^{38993463742464} 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 38993463742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78259076026560).

38993463742464 is an abundant number, since it is smaller than the sum of its proper divisors (117524688310656).

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

38993463742464 is a wasteful number, since it uses less digits than its factorization.

38993463742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 228 counting only the distinct ones).

The product of its digits is 2257403904, while the sum is 72.

The spelling of 38993463742464 in words is "thirty-eight trillion, nine hundred ninety-three billion, four hundred sixty-three million, seven hundred forty-two thousand, four hundred sixty-four".