89961147489941 has 36 divisors (see below), whose sum is σ = 116380447071012. Its totient is φ = 69254319423744.

The previous prime is 89961147489883. The next prime is 89961147489971. The reversal of 89961147489941 is 14998474116998.

It can be written as a sum of positive squares in 6 ways, for example, as 3938379166225 + 86022768323716 = 1984535^2 + 9274846^2 .

It is not a de Polignac number, because 89961147489941 - 2²⁶ = 89961080381077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89961147489971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146498480 + ... + 147111273.

It is an arithmetic number, because the mean of its divisors is an integer number (3232790196417).

Almost surely, 2^{89961147489941} is an apocalyptic number.

It is an amenable number.

89961147489941 is a deficient number, since it is larger than the sum of its proper divisors (26419299581071).

89961147489941 is a wasteful number, since it uses less digits than its factorization.

89961147489941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293609830 (or 293609810 counting only the distinct ones).

The product of its digits is 1128701952, while the sum is 80.

The spelling of 89961147489941 in words is "eighty-nine trillion, nine hundred sixty-one billion, one hundred forty-seven million, four hundred eighty-nine thousand, nine hundred forty-one".