98617052448 has 192 divisors, whose sum is σ = 290524631040. Its totient is φ = 32543078400.

The previous prime is 98617052423. The next prime is 98617052489. The reversal of 98617052448 is 84425071689.

It is a happy number.

98617052448 is a `hidden beast` number, since 9 + 8 + 6 + 1 + 70 + 524 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 98617052394 and 98617052403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83502418 + ... + 83503598.

It is an arithmetic number, because the mean of its divisors is an integer number (1513149120).

Almost surely, 2^98617052448 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 98617052448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145262315520).

98617052448 is an abundant number, since it is smaller than the sum of its proper divisors (191907578592).

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

98617052448 is a wasteful number, since it uses less digits than its factorization.

98617052448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 98617052448 in words is "ninety-eight billion, six hundred seventeen million, fifty-two thousand, four hundred forty-eight".