98361454464 has 1536 divisors, whose sum is σ = 399200256000. Its totient is φ = 23380254720.

The previous prime is 98361454427. The next prime is 98361454469. The reversal of 98361454464 is 46445416389.

98361454464 is a `hidden beast` number, since 9 + 8 + 36 + 1 + 4 + 544 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 98361454464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98361454469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1667143267 + ... + 1667143325.

It is an arithmetic number, because the mean of its divisors is an integer number (259896000).

Almost surely, 2^98361454464 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 98361454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199600128000).

98361454464 is an abundant number, since it is smaller than the sum of its proper divisors (300838801536).

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

98361454464 is a wasteful number, since it uses less digits than its factorization.

98361454464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 98361454464 in words is "ninety-eight billion, three hundred sixty-one million, four hundred fifty-four thousand, four hundred sixty-four".