98456314401 has 16 divisors (see below), whose sum is σ = 148252376320. Its totient is φ = 64561516560.

The previous prime is 98456314399. The next prime is 98456314403. The reversal of 98456314401 is 10441365489.

98456314401 is a `hidden beast` number, since 9 + 8 + 4 + 5 + 631 + 4 + 4 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (98456314399) and next prime (98456314403).

It is not a de Polignac number, because 98456314401 - 2¹ = 98456314399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98456314403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29887945 + ... + 29891238.

It is an arithmetic number, because the mean of its divisors is an integer number (9265773520).

Almost surely, 2^98456314401 is an apocalyptic number.

It is an amenable number.

98456314401 is a deficient number, since it is larger than the sum of its proper divisors (49796061919).

98456314401 is a wasteful number, since it uses less digits than its factorization.

98456314401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59779253 (or 59779247 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 98456314401 in words is "ninety-eight billion, four hundred fifty-six million, three hundred fourteen thousand, four hundred one".