89774541376 has 189 divisors, whose sum is σ = 200486185641. Its totient is φ = 39866770944.

The previous prime is 89774541371. The next prime is 89774541377. The reversal of 89774541376 is 67314547798.

The square root of 89774541376 is 299624.

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., 13280257600 + 76494283776 = 115240^2 + 276576^2 .

It is a super-2 number, since 2×89774541376² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89774541371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1339918495 + ... + 1339918561.

It is an arithmetic number, because the mean of its divisors is an integer number (1060773469).

Almost surely, 2^89774541376 is an apocalyptic number.

89774541376 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

89774541376 is the 299624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89774541376

89774541376 is an abundant number, since it is smaller than the sum of its proper divisors (110711644265).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89774541376 is an equidigital number, since it uses as much as digits as its factorization.

89774541376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 125 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 61.

The spelling of 89774541376 in words is "eighty-nine billion, seven hundred seventy-four million, five hundred forty-one thousand, three hundred seventy-six".