46430045760 has 224 divisors, whose sum is σ = 169056905472. Its totient is φ = 10575912960.

The previous prime is 46430045713. The next prime is 46430045777. The reversal of 46430045760 is 6754003464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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, 1957170 + ... + 1980750.

It is an arithmetic number, because the mean of its divisors is an integer number (754718328).

Almost surely, 2^46430045760 is an apocalyptic number.

46430045760 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 46430045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84528452736).

46430045760 is an abundant number, since it is smaller than the sum of its proper divisors (122626859712).

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

46430045760 is a wasteful number, since it uses less digits than its factorization.

46430045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23901 (or 23891 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 46430045760 in words is "forty-six billion, four hundred thirty million, forty-five thousand, seven hundred sixty".