102048138438816 has 48 divisors (see below), whose sum is σ = 269803531519200. Its totient is φ = 33771326385408.

The previous prime is 102048138438811. The next prime is 102048138438853. The reversal of 102048138438816 is 618834831840201.

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

It is not an unprimeable number, because it can be changed into a prime (102048138438811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3823732851 + ... + 3823759538.

It is an arithmetic number, because the mean of its divisors is an integer number (5620906906650).

Almost surely, 2^{102048138438816} is an apocalyptic number.

102048138438816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102048138438816 is an abundant number, since it is smaller than the sum of its proper divisors (167755393080384).

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

102048138438816 is a wasteful number, since it uses less digits than its factorization.

102048138438816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7647492541 (or 7647492533 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 102048138438816 in words is "one hundred two trillion, forty-eight billion, one hundred thirty-eight million, four hundred thirty-eight thousand, eight hundred sixteen".