98782470144000 has 1632 divisors, whose sum is σ = 378176031567360. Its totient is φ = 24737218560000.

The previous prime is 98782470143983. The next prime is 98782470144031. The reversal of 98782470144000 is 44107428789.

98782470144000 is a `hidden beast` number, since 9 + 87 + 82 + 4 + 70 + 14 + 400 + 0 = 666.

It is a super-3 number, since 3×98782470144000³ (a number of 43 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 211525631767 + ... + 211525632233.

Almost surely, 2^{98782470144000} is an apocalyptic number.

98782470144000 is a gapful number since it is divisible by the number (90) 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 98782470144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189088015783680).

98782470144000 is an abundant number, since it is smaller than the sum of its proper divisors (279393561423360).

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

98782470144000 is a wasteful number, since it uses less digits than its factorization.

98782470144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 647 counting only the distinct ones).

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

The spelling of 98782470144000 in words is "ninety-eight trillion, seven hundred eighty-two billion, four hundred seventy million, one hundred forty-four thousand".