98047166454720 has 2240 divisors, whose sum is σ = 430475057971200. Its totient is φ = 20690241454080.

The previous prime is 98047166454701. The next prime is 98047166454761. The reversal of 98047166454720 is 2745466174089.

98047166454720 is a `hidden beast` number, since 9 + 8 + 0 + 4 + 7 + 1 + 6 + 64 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×98047166454720² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65847659736 + ... + 65847661224.

Almost surely, 2^{98047166454720} is an apocalyptic number.

98047166454720 is a gapful number since it is divisible by the number (90) 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 98047166454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215237528985600).

98047166454720 is an abundant number, since it is smaller than the sum of its proper divisors (332427891516480).

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

98047166454720 is a wasteful number, since it uses less digits than its factorization.

98047166454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 98047166454720 in words is "ninety-eight trillion, forty-seven billion, one hundred sixty-six million, four hundred fifty-four thousand, seven hundred twenty".