78434988339456 has 2592 divisors, whose sum is σ = 300987208704000. Its totient is φ = 20285595832320.

The previous prime is 78434988339401. The next prime is 78434988339509. The reversal of 78434988339456 is 65493388943487.

78434988339456 is a `hidden beast` number, since 7 + 8 + 4 + 3 + 498 + 8 + 33 + 94 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 992847953625 + ... + 992847953703.

Almost surely, 2^{78434988339456} is an apocalyptic number.

78434988339456 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78434988339456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150493604352000).

78434988339456 is an abundant number, since it is smaller than the sum of its proper divisors (222552220364544).

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

78434988339456 is an frugal number, since it uses more digits than its factorization.

78434988339456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 141 counting only the distinct ones).

The product of its digits is 15049359360, while the sum is 81.

The spelling of 78434988339456 in words is "seventy-eight trillion, four hundred thirty-four billion, nine hundred eighty-eight million, three hundred thirty-nine thousand, four hundred fifty-six".