98774541482400 has 1152 divisors, whose sum is σ = 415330017177600. Its totient is φ = 22187179929600.

The previous prime is 98774541482381. The next prime is 98774541482429. The reversal of 98774541482400 is 428414547789.

98774541482400 is a `hidden beast` number, since 9 + 8 + 7 + 7 + 4 + 541 + 4 + 82 + 4 + 0 + 0 = 666.

98774541482400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12017825491 + ... + 12017833709.

It is an arithmetic number, because the mean of its divisors is an integer number (360529528800).

Almost surely, 2^{98774541482400} is an apocalyptic number.

98774541482400 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 98774541482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207665008588800).

98774541482400 is an abundant number, since it is smaller than the sum of its proper divisors (316555475695200).

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

98774541482400 is a wasteful number, since it uses less digits than its factorization.

98774541482400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9619 (or 9600 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 98774541482400 in words is "ninety-eight trillion, seven hundred seventy-four billion, five hundred forty-one million, four hundred eighty-two thousand, four hundred".