46246464264 has 384 divisors, whose sum is σ = 157659264000. Its totient is φ = 10999549440.

The previous prime is 46246464247. The next prime is 46246464331.

46246464264 is nontrivially palindromic in base 10.

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 nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36732067 + ... + 36733325.

It is an arithmetic number, because the mean of its divisors is an integer number (410571000).

Almost surely, 2^46246464264 is an apocalyptic number.

46246464264 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 46246464264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78829632000).

46246464264 is an abundant number, since it is smaller than the sum of its proper divisors (111412799736).

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

46246464264 is a wasteful number, since it uses less digits than its factorization.

46246464264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1434 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 46246464264 in words is "forty-six billion, two hundred forty-six million, four hundred sixty-four thousand, two hundred sixty-four".