46447766774464 has 56 divisors (see below), whose sum is σ = 100550230311888. Its totient is φ = 21112333271040.

The previous prime is 46447766774413. The next prime is 46447766774527.

46447766774464 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56271424 + ... + 57090880.

It is an arithmetic number, because the mean of its divisors is an integer number (1795539826998).

Almost surely, 2^{46447766774464} is an apocalyptic number.

46447766774464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46447766774464 is an abundant number, since it is smaller than the sum of its proper divisors (54102463537424).

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

46447766774464 is a wasteful number, since it uses less digits than its factorization.

46447766774464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899993 (or 899983 counting only the distinct ones).

The product of its digits is 12745506816, while the sum is 76.

The spelling of 46447766774464 in words is "forty-six trillion, four hundred forty-seven billion, seven hundred sixty-six million, seven hundred seventy-four thousand, four hundred sixty-four".