1820256480315 has 240 divisors, whose sum is σ = 3978306101952. Its totient is φ = 765313629696.

The previous prime is 1820256480253. The next prime is 1820256480347. The reversal of 1820256480315 is 5130846520281.

1820256480315 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 2 + 564 + 80 + 3 + 1 + 5 = 666.

It is not a de Polignac number, because 1820256480315 - 2⁸ = 1820256480059 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 411541194 + ... + 411545616.

Almost surely, 2^{1820256480315} is an apocalyptic number.

1820256480315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1820256480315 is an abundant number, since it is smaller than the sum of its proper divisors (2158049621637).

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

1820256480315 is a wasteful number, since it uses less digits than its factorization.

1820256480315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4768 (or 4744 counting only the distinct ones).

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

The spelling of 1820256480315 in words is "one trillion, eight hundred twenty billion, two hundred fifty-six million, four hundred eighty thousand, three hundred fifteen".