46402820464 has 360 divisors, whose sum is σ = 125078494464. Its totient is φ = 16516684800.

The previous prime is 46402820419. The next prime is 46402820473.

It is a happy number.

46402820464 is nontrivially palindromic in base 10.

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 71 ways as a sum of consecutive naturals, for example, 235547214 + ... + 235547410.

Almost surely, 2^46402820464 is an apocalyptic number.

46402820464 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 46402820464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62539247232).

46402820464 is an abundant number, since it is smaller than the sum of its proper divisors (78675674000).

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

46402820464 is a wasteful number, since it uses less digits than its factorization.

46402820464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 46402820464 in words is "forty-six billion, four hundred two million, eight hundred twenty thousand, four hundred sixty-four".