2415461406456 has 96 divisors (see below), whose sum is σ = 7038523175040. Its totient is φ = 688759630272.

The previous prime is 2415461406443. The next prime is 2415461406487. The reversal of 2415461406456 is 6546041645142.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1450186 + ... + 2633241.

It is an arithmetic number, because the mean of its divisors is an integer number (73317949740).

Almost surely, 2^{2415461406456} is an apocalyptic number.

It is an amenable number.

2415461406456 is an abundant number, since it is smaller than the sum of its proper divisors (4623061768584).

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

2415461406456 is a wasteful number, since it uses less digits than its factorization.

2415461406456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083953 (or 4083942 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 2415461406456 in words is "two trillion, four hundred fifteen billion, four hundred sixty-one million, four hundred six thousand, four hundred fifty-six".