46313648640 has 400 divisors, whose sum is σ = 189584062272. Its totient is φ = 10585645056.

The previous prime is 46313648617. The next prime is 46313648651. The reversal of 46313648640 is 4684631364.

It is a happy number.

46313648640 is a `hidden beast` number, since 4 + 631 + 3 + 6 + 4 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1435567 + ... + 1467473.

Almost surely, 2^46313648640 is an apocalyptic number.

46313648640 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 46313648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94792031136).

46313648640 is an abundant number, since it is smaller than the sum of its proper divisors (143270413632).

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

46313648640 is an equidigital number, since it uses as much as digits as its factorization.

46313648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31949 (or 31924 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 46313648640 in words is "forty-six billion, three hundred thirteen million, six hundred forty-eight thousand, six hundred forty".