98013451041 has 81 divisors (see below), whose sum is σ = 159498042067. Its totient is φ = 57955703520.

The previous prime is 98013451033. The next prime is 98013451051. The reversal of 98013451041 is 14015431089.

The square root of 98013451041 is 313071.

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

98013451041 is a `hidden beast` number, since 9 + 8 + 0 + 134 + 510 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70657614225 + 27355836816 = 265815^2 + 165396^2 .

It is not a de Polignac number, because 98013451041 - 2³ = 98013451033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 98013450987 and 98013451005.

It is not an unprimeable number, because it can be changed into a prime (98013451051) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 547561090 + ... + 547561268.

Almost surely, 2^98013451041 is an apocalyptic number.

98013451041 is the 313071-st square number.

98013451041 is the 156536-th centered octagonal number.

It is an amenable number.

98013451041 is a deficient number, since it is larger than the sum of its proper divisors (61484591026).

98013451041 is a wasteful number, since it uses less digits than its factorization.

98013451041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 98013451041 by its sum of digits (36), we get a square (3528484237476 = 1878426²).

The spelling of 98013451041 in words is "ninety-eight billion, thirteen million, four hundred fifty-one thousand, forty-one".