78914248704000 has 680 divisors, whose sum is σ = 294239312397888. Its totient is φ = 21043622707200.

The previous prime is 78914248703981. The next prime is 78914248704001. The reversal of 78914248704000 is 40784241987.

78914248704000 is a `hidden beast` number, since 7 + 8 + 91 + 42 + 48 + 70 + 400 + 0 = 666.

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 (78914248704001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 663492537 + ... + 663611463.

Almost surely, 2^{78914248704000} 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 78914248704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147119656198944).

78914248704000 is an abundant number, since it is smaller than the sum of its proper divisors (215325063693888).

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

78914248704000 is an frugal number, since it uses more digits than its factorization.

78914248704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118986 (or 118937 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 78914248704000 in words is "seventy-eight trillion, nine hundred fourteen billion, two hundred forty-eight million, seven hundred four thousand".