98754701251600 has 45 divisors (see below), whose sum is σ = 237258647256727. Its totient is φ = 39501801000320.

The previous prime is 98754701251589. The next prime is 98754701251627. The reversal of 98754701251600 is 615210745789.

The square root of 98754701251600 is 9937540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17398342161424 + 81356359090176 = 4171132^2 + 9019776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198502362 + ... + 198999238.

Almost surely, 2^{98754701251600} is an apocalyptic number.

98754701251600 is the 9937540-th square number.

It is an amenable number.

98754701251600 is an abundant number, since it is smaller than the sum of its proper divisors (138503946005127).

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

98754701251600 is an frugal number, since it uses more digits than its factorization.

98754701251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993772 (or 496884 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 98754701251600 in words is "ninety-eight trillion, seven hundred fifty-four billion, seven hundred one million, two hundred fifty-one thousand, six hundred".