78174867142064 has 160 divisors (see below), whose sum is σ = 199954631655936. Its totient is φ = 28664886620160.

The previous prime is 78174867142061. The next prime is 78174867142093. The reversal of 78174867142064 is 46024176847187.

78174867142064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78174867142064² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78174867142061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598870307 + ... + 599000829.

Almost surely, 2^{78174867142064} 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 78174867142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99977315827968).

78174867142064 is an abundant number, since it is smaller than the sum of its proper divisors (121779764513872).

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

78174867142064 is a wasteful number, since it uses less digits than its factorization.

78174867142064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159163 (or 159157 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 65.

The spelling of 78174867142064 in words is "seventy-eight trillion, one hundred seventy-four billion, eight hundred sixty-seven million, one hundred forty-two thousand, sixty-four".