340185228516 has 189 divisors, whose sum is σ = 1038978264051. Its totient is φ = 97132788144.

The previous prime is 340185228503. The next prime is 340185228533. The reversal of 340185228516 is 615822581043.

The square root of 340185228516 is 583254.

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

340185228516 is a `hidden beast` number, since 3 + 40 + 1 + 8 + 522 + 85 + 1 + 6 = 666.

340185228516 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 220469241 + ... + 220470783.

Almost surely, 2^340185228516 is an apocalyptic number.

340185228516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

340185228516 is the 583254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340185228516

340185228516 is an abundant number, since it is smaller than the sum of its proper divisors (698793035535).

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

340185228516 is an frugal number, since it uses more digits than its factorization.

340185228516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 340185228516 in words is "three hundred forty billion, one hundred eighty-five million, two hundred twenty-eight thousand, five hundred sixteen".