330416882761 has 15 divisors (see below), whose sum is σ = 385496288493. Its totient is φ = 283190328540.

The previous prime is 330416882753. The next prime is 330416882863. The reversal of 330416882761 is 167288614033.

The square root of 330416882761 is 574819.

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

It is not a de Polignac number, because 330416882761 - 2³ = 330416882753 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330416882701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28160266 + ... + 28171996.

Almost surely, 2^330416882761 is an apocalyptic number.

330416882761 is the 574819-th square number.

330416882761 is the 287410-th centered octagonal number.

It is an amenable number.

330416882761 is a deficient number, since it is larger than the sum of its proper divisors (55079405732).

330416882761 is an frugal number, since it uses more digits than its factorization.

330416882761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23490 (or 11738 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 330416882761 by its sum of digits (49), we get a square (16190427255289 = 4023733²).

330416882761 divided by its sum of digits (49) gives a square (6743201689 = 82117²).

The spelling of 330416882761 in words is "three hundred thirty billion, four hundred sixteen million, eight hundred eighty-two thousand, seven hundred sixty-one".