46462466688 has 192 divisors, whose sum is σ = 140035848960. Its totient is φ = 13624934400.

The previous prime is 46462466663. The next prime is 46462466747. The reversal of 46462466688 is 88666426464.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1424256 + ... + 1456512.

It is an arithmetic number, because the mean of its divisors is an integer number (729353380).

Almost surely, 2^46462466688 is an apocalyptic number.

46462466688 is a gapful number since it is divisible by the number (48) 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 46462466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70017924480).

46462466688 is an abundant number, since it is smaller than the sum of its proper divisors (93573382272).

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

46462466688 is a wasteful number, since it uses less digits than its factorization.

46462466688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32327 (or 32304 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 60.

The spelling of 46462466688 in words is "forty-six billion, four hundred sixty-two million, four hundred sixty-six thousand, six hundred eighty-eight".