46465256464 has 60 divisors (see below), whose sum is σ = 99054910080. Its totient is φ = 21099179200.

The previous prime is 46465256459. The next prime is 46465256473.

It is a happy number.

46465256464 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1984377 + ... + 2007655.

It is an arithmetic number, because the mean of its divisors is an integer number (1650915168).

Almost surely, 2^46465256464 is an apocalyptic number.

46465256464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46465256464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49527455040).

46465256464 is an abundant number, since it is smaller than the sum of its proper divisors (52589653616).

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

46465256464 is a wasteful number, since it uses less digits than its factorization.

46465256464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24340 (or 24323 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 52.

The spelling of 46465256464 in words is "forty-six billion, four hundred sixty-five million, two hundred fifty-six thousand, four hundred sixty-four".