38457648488448 has 2016 divisors, whose sum is σ = 140528805633216. Its totient is φ = 10469003231232.

The previous prime is 38457648488377. The next prime is 38457648488471. The reversal of 38457648488448 is 84488484675483.

38457648488448 is a `hidden beast` number, since 3 + 8 + 4 + 57 + 6 + 48 + 4 + 88 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×38457648488448² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 222298546090 + ... + 222298546262.

It is an arithmetic number, because the mean of its divisors is an integer number (69706748826).

Almost surely, 2^{38457648488448} 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 38457648488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70264402816608).

38457648488448 is an abundant number, since it is smaller than the sum of its proper divisors (102071157144768).

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

38457648488448 is an equidigital number, since it uses as much as digits as its factorization.

38457648488448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 281 counting only the distinct ones).

The product of its digits is 21139292160, while the sum is 81.

The spelling of 38457648488448 in words is "thirty-eight trillion, four hundred fifty-seven billion, six hundred forty-eight million, four hundred eighty-eight thousand, four hundred forty-eight".