98425764792576 has 405 divisors, whose sum is σ = 307685310881039. Its totient is φ = 30260087949312.

The previous prime is 98425764792529. The next prime is 98425764792577. The reversal of 98425764792576 is 67529746752489.

The square root of 98425764792576 is 9920976.

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

98425764792576 is a `hidden beast` number, since 9 + 8 + 4 + 2 + 5 + 76 + 479 + 2 + 5 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48801066322176 + 49624698470400 = 6985776^2 + 7044480^2 .

Its product of digits (12802406400) is a multiple of the sum of its prime factors (2520).

It is a junction number, because it is equal to n+sod(n) for n = 98425764792495 and 98425764792504.

It is not an unprimeable number, because it can be changed into a prime (98425764792577) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 80478956701 + ... + 80478957923.

Almost surely, 2^{98425764792576} is an apocalyptic number.

98425764792576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

98425764792576 is the 9920976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98425764792576

98425764792576 is an abundant number, since it is smaller than the sum of its proper divisors (209259546088463).

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

98425764792576 is an frugal number, since it uses more digits than its factorization.

98425764792576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 1241 counting only the distinct ones).

The product of its digits is 12802406400, while the sum is 81.

The spelling of 98425764792576 in words is "ninety-eight trillion, four hundred twenty-five billion, seven hundred sixty-four million, seven hundred ninety-two thousand, five hundred seventy-six".