46661680128 has 176 divisors, whose sum is σ = 146724767744. Its totient is φ = 12901662720.

The previous prime is 46661680069. The next prime is 46661680139. The reversal of 46661680128 is 82108616664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631626 + ... + 701622.

Almost surely, 2^46661680128 is an apocalyptic number.

46661680128 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 46661680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73362383872).

46661680128 is an abundant number, since it is smaller than the sum of its proper divisors (100063087616).

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

46661680128 is a wasteful number, since it uses less digits than its factorization.

46661680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70058 (or 70040 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 46661680128 in words is "forty-six billion, six hundred sixty-one million, six hundred eighty thousand, one hundred twenty-eight".