46439688960 has 576 divisors, whose sum is σ = 190376524800. Its totient is φ = 10500046848.

The previous prime is 46439688917. The next prime is 46439688961. The reversal of 46439688960 is 6988693464.

46439688960 is a `hidden beast` number, since 4 + 6 + 439 + 68 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46439688961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23465251 + ... + 23467229.

It is an arithmetic number, because the mean of its divisors is an integer number (330514800).

Almost surely, 2^46439688960 is an apocalyptic number.

46439688960 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 46439688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95188262400).

46439688960 is an abundant number, since it is smaller than the sum of its proper divisors (143936835840).

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

46439688960 is a wasteful number, since it uses less digits than its factorization.

46439688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 46439688960 in words is "forty-six billion, four hundred thirty-nine million, six hundred eighty-eight thousand, nine hundred sixty".