78177048384032 has 96 divisors (see below), whose sum is σ = 166978348314624. Its totient is φ = 35815251225600.

The previous prime is 78177048384011. The next prime is 78177048384151. The reversal of 78177048384032 is 23048384077187.

It is a super-3 number, since 3×78177048384032³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34214657 + ... + 36427967.

It is an arithmetic number, because the mean of its divisors is an integer number (1739357794944).

Almost surely, 2^{78177048384032} 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 78177048384032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83489174157312).

78177048384032 is an abundant number, since it is smaller than the sum of its proper divisors (88801299930592).

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

78177048384032 is a wasteful number, since it uses less digits than its factorization.

78177048384032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213962 (or 2213954 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 62.

The spelling of 78177048384032 in words is "seventy-eight trillion, one hundred seventy-seven billion, forty-eight million, three hundred eighty-four thousand, thirty-two".