98719803694656 has 693 divisors, whose sum is σ = 311280614356881. Its totient is φ = 31058783866368.

The previous prime is 98719803694651. The next prime is 98719803694711. The reversal of 98719803694656 is 65649630891789.

The square root of 98719803694656 is 9935784.

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

98719803694656 is a `hidden beast` number, since 9 + 8 + 7 + 1 + 98 + 0 + 3 + 69 + 465 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6495280405056 + 92224523289600 = 2548584^2 + 9603360^2 .

It is a super-2 number, since 2×98719803694656² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98719803694651) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 366988117690 + ... + 366988117958.

Almost surely, 2^{98719803694656} is an apocalyptic number.

98719803694656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

98719803694656 is the 9935784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98719803694656

98719803694656 is an abundant number, since it is smaller than the sum of its proper divisors (212560810662225).

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

98719803694656 is an frugal number, since it uses more digits than its factorization.

98719803694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

98719803694656 divided by its sum of digits (81) gives a square (1218763008576 = 1103976²).

The spelling of 98719803694656 in words is "ninety-eight trillion, seven hundred nineteen billion, eight hundred three million, six hundred ninety-four thousand, six hundred fifty-six".