98890751961 has 63 divisors (see below), whose sum is σ = 156738301839. Its totient is φ = 62355429072.

The previous prime is 98890751951. The next prime is 98890751963. The reversal of 98890751961 is 16915709889.

The square root of 98890751961 is 314469.

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

It can be written as a sum of positive squares in only one way, i.e., 322382025 + 98568369936 = 17955^2 + 313956^2 .

It is not a de Polignac number, because 98890751961 - 2⁵ = 98890751929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (98890751963) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 161322291 + ... + 161322903.

It is an arithmetic number, because the mean of its divisors is an integer number (2487909553).

Almost surely, 2^98890751961 is an apocalyptic number.

98890751961 is the 314469-th square number.

98890751961 is the 157235-th centered octagonal number.

It is an amenable number.

98890751961 is a deficient number, since it is larger than the sum of its proper divisors (57847549878).

98890751961 is an frugal number, since it uses more digits than its factorization.

98890751961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 63.

The spelling of 98890751961 in words is "ninety-eight billion, eight hundred ninety million, seven hundred fifty-one thousand, nine hundred sixty-one".