78112541350368 has 288 divisors, whose sum is σ = 265294797820416. Its totient is φ = 21315985726464.

The previous prime is 78112541350343. The next prime is 78112541350411. The reversal of 78112541350368 is 86305314521187.

78112541350368 is a `hidden beast` number, since 7 + 8 + 1 + 1 + 2 + 541 + 35 + 0 + 3 + 68 = 666.

78112541350368 is digitally balanced in base 4, 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 (288).

It is a super-2 number, since 2×78112541350368² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30146955 + ... + 32635317.

It is an arithmetic number, because the mean of its divisors is an integer number (921162492432).

Almost surely, 2^{78112541350368} 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 78112541350368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132647398910208).

78112541350368 is an abundant number, since it is smaller than the sum of its proper divisors (187182256470048).

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

78112541350368 is a wasteful number, since it uses less digits than its factorization.

78112541350368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489086 (or 2489075 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 78112541350368 in words is "seventy-eight trillion, one hundred twelve billion, five hundred forty-one million, three hundred fifty thousand, three hundred sixty-eight".