38456199456 has 96 divisors (see below), whose sum is σ = 105444218880. Its totient is φ = 12248865024.

The previous prime is 38456199451. The next prime is 38456199473. The reversal of 38456199456 is 65499165483.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 38456199456.

It is not an unprimeable number, because it can be changed into a prime (38456199451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2285731 + ... + 2302493.

It is an arithmetic number, because the mean of its divisors is an integer number (1098377280).

Almost surely, 2^38456199456 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 38456199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52722109440).

38456199456 is an abundant number, since it is smaller than the sum of its proper divisors (66988019424).

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

38456199456 is a wasteful number, since it uses less digits than its factorization.

38456199456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17838 (or 17830 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 60.

The spelling of 38456199456 in words is "thirty-eight billion, four hundred fifty-six million, one hundred ninety-nine thousand, four hundred fifty-six".