83378004816 has 160 divisors (see below), whose sum is σ = 221380473600. Its totient is φ = 27033108480.

The previous prime is 83378004797. The next prime is 83378004847. The reversal of 83378004816 is 61840087338.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 144502320 + ... + 144502896.

It is an arithmetic number, because the mean of its divisors is an integer number (1383627960).

Almost surely, 2^83378004816 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 83378004816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110690236800).

83378004816 is an abundant number, since it is smaller than the sum of its proper divisors (138002468784).

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

83378004816 is a wasteful number, since it uses less digits than its factorization.

83378004816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 83378004816 in words is "eighty-three billion, three hundred seventy-eight million, four thousand, eight hundred sixteen".