78098446944000 has 3456 divisors, whose sum is σ = 357688880640000. Its totient is φ = 16683887001600.

The previous prime is 78098446943983. The next prime is 78098446944031. The reversal of 78098446944000 is 44964489087.

78098446944000 is a `hidden beast` number, since 7 + 8 + 0 + 98 + 44 + 69 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 63546335386 + ... + 63546336614.

It is an arithmetic number, because the mean of its divisors is an integer number (103497940000).

Almost surely, 2^{78098446944000} is an apocalyptic number.

78098446944000 is a gapful number since it is divisible by the number (70) 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 78098446944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178844440320000).

78098446944000 is an abundant number, since it is smaller than the sum of its proper divisors (279590433696000).

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

78098446944000 is a wasteful number, since it uses less digits than its factorization.

78098446944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 78098446944000 in words is "seventy-eight trillion, ninety-eight billion, four hundred forty-six million, nine hundred forty-four thousand".