78111148707144 has 672 divisors, whose sum is σ = 265428815178240. Its totient is φ = 21454155072000.

The previous prime is 78111148707091. The next prime is 78111148707149. The reversal of 78111148707144 is 44170784111187.

78111148707144 is a `hidden beast` number, since 7 + 8 + 1 + 1 + 11 + 487 + 0 + 7 + 144 = 666.

It is a super-2 number, since 2×78111148707144² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78111148707149) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1337650812 + ... + 1337709204.

It is an arithmetic number, because the mean of its divisors is an integer number (394983355920).

Almost surely, 2^{78111148707144} 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 78111148707144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132714407589120).

78111148707144 is an abundant number, since it is smaller than the sum of its proper divisors (187317666471096).

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

78111148707144 is a wasteful number, since it uses less digits than its factorization.

78111148707144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58613 (or 58587 counting only the distinct ones).

The product of its (nonzero) digits is 1404928, while the sum is 54.

The spelling of 78111148707144 in words is "seventy-eight trillion, one hundred eleven billion, one hundred forty-eight million, seven hundred seven thousand, one hundred forty-four".