46660434000 has 160 divisors (see below), whose sum is σ = 150606967680. Its totient is φ = 12428416000.

The previous prime is 46660433927. The next prime is 46660434017. The reversal of 46660434000 is 43406664.

46660434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46660434000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5821996 + ... + 5830004.

It is an arithmetic number, because the mean of its divisors is an integer number (941293548).

Almost surely, 2^46660434000 is an apocalyptic number.

46660434000 is a gapful number since it is divisible by the number (40) 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 46660434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75303483840).

46660434000 is an abundant number, since it is smaller than the sum of its proper divisors (103946533680).

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

46660434000 is a wasteful number, since it uses less digits than its factorization.

46660434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9006 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 46660434000 in words is "forty-six billion, six hundred sixty million, four hundred thirty-four thousand".