38246616486960 has 640 divisors, whose sum is σ = 143465985589248. Its totient is φ = 8243306496000.

The previous prime is 38246616486893. The next prime is 38246616487003. The reversal of 38246616486960 is 6968461664283.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1753053972 + ... + 1753075788.

Almost surely, 2^{38246616486960} is an apocalyptic number.

38246616486960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38246616486960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71732992794624).

38246616486960 is an abundant number, since it is smaller than the sum of its proper divisors (105219369102288).

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

38246616486960 is a wasteful number, since it uses less digits than its factorization.

38246616486960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22733 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 69.

The spelling of 38246616486960 in words is "thirty-eight trillion, two hundred forty-six billion, six hundred sixteen million, four hundred eighty-six thousand, nine hundred sixty".