98456978657401 has 135 divisors (see below), whose sum is σ = 128131316175303. Its totient is φ = 75614586203520.

The previous prime is 98456978657393. The next prime is 98456978657423. The reversal of 98456978657401 is 10475687965489.

The square root of 98456978657401 is 9922549.

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

It can be written as a sum of positive squares in 13 ways, for example, as 96714420253801 + 1742558403600 = 9834349^2 + 1320060^2 .

It is not a de Polignac number, because 98456978657401 - 2³ = 98456978657393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (98456978657461) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 233864557171 + ... + 233864557591.

Almost surely, 2^{98456978657401} is an apocalyptic number.

98456978657401 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

98456978657401 is the 9922549-th square number.

98456978657401 is the 4961275-th centered octagonal number.

It is an amenable number.

98456978657401 is a deficient number, since it is larger than the sum of its proper divisors (29674337517902).

98456978657401 is an frugal number, since it uses more digits than its factorization.

98456978657401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3657830400, while the sum is 79.

The spelling of 98456978657401 in words is "ninety-eight trillion, four hundred fifty-six billion, nine hundred seventy-eight million, six hundred fifty-seven thousand, four hundred one".