98415680493312 has 3456 divisors, whose sum is σ = 401262947205120. Its totient is φ = 23341556367360.

The previous prime is 98415680493269. The next prime is 98415680493371. The reversal of 98415680493312 is 21339408651489.

98415680493312 is a `hidden beast` number, since 9 + 8 + 4 + 1 + 56 + 80 + 493 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a self number, because there is not a number n which added to its sum of digits gives 98415680493312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 149340941239 + ... + 149340941897.

Almost surely, 2^{98415680493312} is an apocalyptic number.

98415680493312 is a gapful number since it is divisible by the number (92) 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 98415680493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200631473602560).

98415680493312 is an abundant number, since it is smaller than the sum of its proper divisors (302847266711808).

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

98415680493312 is a wasteful number, since it uses less digits than its factorization.

98415680493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 98415680493312 in words is "ninety-eight trillion, four hundred fifteen billion, six hundred eighty million, four hundred ninety-three thousand, three hundred twelve".