98578463588352 has 1296 divisors, whose sum is σ = 342136666256112. Its totient is φ = 28069205114880.

The previous prime is 98578463588329. The next prime is 98578463588357. The reversal of 98578463588352 is 25388536487589.

98578463588352 is a `hidden beast` number, since 9 + 8 + 5 + 78 + 463 + 5 + 8 + 83 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×98578463588352² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98578463588357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160813153998 + ... + 160813154610.

It is an arithmetic number, because the mean of its divisors is an integer number (263994341247).

Almost surely, 2^{98578463588352} 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 98578463588352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171068333128056).

98578463588352 is an abundant number, since it is smaller than the sum of its proper divisors (243558202667760).

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

98578463588352 is an frugal number, since it uses more digits than its factorization.

98578463588352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 646 counting only the distinct ones).

The product of its digits is 13934592000, while the sum is 81.

The spelling of 98578463588352 in words is "ninety-eight trillion, five hundred seventy-eight billion, four hundred sixty-three million, five hundred eighty-eight thousand, three hundred fifty-two".