46465659240000 has 3360 divisors, whose sum is σ = 213108027302016. Its totient is φ = 8778792960000.

The previous prime is 46465659239939. The next prime is 46465659240017. The reversal of 46465659240000 is 4295656464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 61381319622 + ... + 61381320378.

Almost surely, 2^{46465659240000} is an apocalyptic number.

46465659240000 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 46465659240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106554013651008).

46465659240000 is an abundant number, since it is smaller than the sum of its proper divisors (166642368062016).

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

46465659240000 is a wasteful number, since it uses less digits than its factorization.

46465659240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 46465659240000 in words is "forty-six trillion, four hundred sixty-five billion, six hundred fifty-nine million, two hundred forty thousand".