78618142448664 has 128 divisors (see below), whose sum is σ = 241974795363840. Its totient is φ = 20728213558272.

The previous prime is 78618142448633. The next prime is 78618142448689. The reversal of 78618142448664 is 46684424181687.

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

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, 1841044 + ... + 12673820.

It is an arithmetic number, because the mean of its divisors is an integer number (1890428088780).

Almost surely, 2^{78618142448664} 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 78618142448664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120987397681920).

78618142448664 is an abundant number, since it is smaller than the sum of its proper divisors (163356652915176).

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

78618142448664 is a wasteful number, since it uses less digits than its factorization.

78618142448664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10836129 (or 10836125 counting only the distinct ones).

The product of its digits is 396361728, while the sum is 69.

The spelling of 78618142448664 in words is "seventy-eight trillion, six hundred eighteen billion, one hundred forty-two million, four hundred forty-eight thousand, six hundred sixty-four".