83712947672484 has 243 divisors, whose sum is σ = 234944509212777. Its totient is φ = 25120806796800.

The previous prime is 83712947672429. The next prime is 83712947672489. The reversal of 83712947672484 is 48427674921738.

The square root of 83712947672484 is 9149478.

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

83712947672484 is a `hidden beast` number, since 8 + 3 + 7 + 1 + 2 + 9 + 4 + 76 + 72 + 484 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 82700654120100 + 1012293552384 = 9093990^2 + 1006128^2 .

It is not an unprimeable number, because it can be changed into a prime (83712947672489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29260029214 + ... + 29260032074.

Almost surely, 2^{83712947672484} is an apocalyptic number.

83712947672484 is the 9149478-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83712947672484

83712947672484 is an abundant number, since it is smaller than the sum of its proper divisors (151231561540293).

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

83712947672484 is a wasteful number, since it uses less digits than its factorization.

83712947672484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 2920 counting only the distinct ones).

The product of its digits is 910393344, while the sum is 72.

The spelling of 83712947672484 in words is "eighty-three trillion, seven hundred twelve billion, nine hundred forty-seven million, six hundred seventy-two thousand, four hundred eighty-four".