38248216464 has 80 divisors (see below), whose sum is σ = 102505939200. Its totient is φ = 12274741248.

The previous prime is 38248216429. The next prime is 38248216537. The reversal of 38248216464 is 46461284283.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452457 + ... + 530295.

It is an arithmetic number, because the mean of its divisors is an integer number (1281324240).

Almost surely, 2^38248216464 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 38248216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51252969600).

38248216464 is an abundant number, since it is smaller than the sum of its proper divisors (64257722736).

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

38248216464 is a wasteful number, since it uses less digits than its factorization.

38248216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78232 (or 78226 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 38248216464 in words is "thirty-eight billion, two hundred forty-eight million, two hundred sixteen thousand, four hundred sixty-four".