38580046311072 has 48 divisors (see below), whose sum is σ = 115740138935232. Its totient is φ = 11022870374400.

The previous prime is 38580046311049. The next prime is 38580046311091. The reversal of 38580046311072 is 27011364008583.

38580046311072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28705390929 + ... + 28705392272.

It is an arithmetic number, because the mean of its divisors is an integer number (2411252894484).

Almost surely, 2^{38580046311072} is an apocalyptic number.

38580046311072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38580046311072 is an abundant number, since it is smaller than the sum of its proper divisors (77160092624160).

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

38580046311072 is a wasteful number, since it uses less digits than its factorization.

38580046311072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57410783221 (or 57410783213 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 38580046311072 in words is "thirty-eight trillion, five hundred eighty billion, forty-six million, three hundred eleven thousand, seventy-two".