289977362136 has 768 divisors, whose sum is σ = 1061235302400. Its totient is φ = 69324595200.

The previous prime is 289977362047. The next prime is 289977362137. The reversal of 289977362136 is 631263779982.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289977362137) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363835690 + ... + 363836486.

It is an arithmetic number, because the mean of its divisors is an integer number (1381816800).

Almost surely, 2^289977362136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289977362136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530617651200).

289977362136 is an abundant number, since it is smaller than the sum of its proper divisors (771257940264).

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

289977362136 is a wasteful number, since it uses less digits than its factorization.

289977362136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 953 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 289977362136 in words is "two hundred eighty-nine billion, nine hundred seventy-seven million, three hundred sixty-two thousand, one hundred thirty-six".