305345385090 has 96 divisors (see below), whose sum is σ = 835194110400. Its totient is φ = 77285120640.

The previous prime is 305345385067. The next prime is 305345385091. The reversal of 305345385090 is 90583543503.

It is a happy number.

305345385090 is a `hidden beast` number, since 30 + 5 + 3 + 453 + 85 + 0 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (305345385091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837456 + ... + 1145435.

It is an arithmetic number, because the mean of its divisors is an integer number (8699938650).

Almost surely, 2^305345385090 is an apocalyptic number.

305345385090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

305345385090 is an abundant number, since it is smaller than the sum of its proper divisors (529848725310).

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

305345385090 is a wasteful number, since it uses less digits than its factorization.

305345385090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982992 (or 1982989 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 305345385090 in words is "three hundred five billion, three hundred forty-five million, three hundred eighty-five thousand, ninety".