78458366448 has 720 divisors, whose sum is σ = 299159602560. Its totient is φ = 19660838400.

The previous prime is 78458366447. The next prime is 78458366453. The reversal of 78458366448 is 84466385487.

78458366448 is a `hidden beast` number, since 7 + 8 + 4 + 583 + 6 + 6 + 4 + 48 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78458366447) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60772683 + ... + 60773973.

It is an arithmetic number, because the mean of its divisors is an integer number (415499448).

Almost surely, 2^78458366448 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 78458366448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149579801280).

78458366448 is an abundant number, since it is smaller than the sum of its proper divisors (220701236112).

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

78458366448 is a wasteful number, since it uses less digits than its factorization.

78458366448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1343 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 78458366448 in words is "seventy-eight billion, four hundred fifty-eight million, three hundred sixty-six thousand, four hundred forty-eight".