98148590942976 has 648 divisors, whose sum is σ = 341520876737040. Its totient is φ = 28030936743936.

The previous prime is 98148590942921. The next prime is 98148590942993. The reversal of 98148590942976 is 67924909584189.

98148590942976 is a `hidden beast` number, since 9 + 8 + 1 + 485 + 9 + 0 + 9 + 42 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a junction number, because it is equal to n+sod(n) for n = 98148590942895 and 98148590942904.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9806028660 + ... + 9806038668.

Almost surely, 2^{98148590942976} is an apocalyptic number.

98148590942976 is a gapful number since it is divisible by the number (96) 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 98148590942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170760438368520).

98148590942976 is an abundant number, since it is smaller than the sum of its proper divisors (243372285794064).

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

98148590942976 is a wasteful number, since it uses less digits than its factorization.

98148590942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13271 (or 13238 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 98148590942976 in words is "ninety-eight trillion, one hundred forty-eight billion, five hundred ninety million, nine hundred forty-two thousand, nine hundred seventy-six".