98149265164800 has 720 divisors, whose sum is σ = 358768027332000. Its totient is φ = 25616762634240.

The previous prime is 98149265164789. The next prime is 98149265164813. The reversal of 98149265164800 is 846156294189.

98149265164800 is a `hidden beast` number, since 9 + 8 + 1 + 4 + 92 + 65 + 1 + 6 + 480 + 0 = 666.

98149265164800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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, 1556435671 + ... + 1556498729.

It is an arithmetic number, because the mean of its divisors is an integer number (498288926850).

Almost surely, 2^{98149265164800} is an apocalyptic number.

98149265164800 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 98149265164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179384013666000).

98149265164800 is an abundant number, since it is smaller than the sum of its proper divisors (260618762167200).

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

98149265164800 is a wasteful number, since it uses less digits than its factorization.

98149265164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63381 (or 63357 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 98149265164800 in words is "ninety-eight trillion, one hundred forty-nine billion, two hundred sixty-five million, one hundred sixty-four thousand, eight hundred".