46546303345920 has 1512 divisors, whose sum is σ = 200733702382080. Its totient is φ = 10295642972160.

The previous prime is 46546303345891. The next prime is 46546303345931. The reversal of 46546303345920 is 2954330364564.

46546303345920 is a `hidden beast` number, since 4 + 6 + 5 + 46 + 3 + 0 + 3 + 3 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 167 ways as a sum of consecutive naturals, for example, 1417392861 + ... + 1417425699.

Almost surely, 2^{46546303345920} is an apocalyptic number.

46546303345920 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 46546303345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100366851191040).

46546303345920 is an abundant number, since it is smaller than the sum of its proper divisors (154187399036160).

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

46546303345920 is an equidigital number, since it uses as much as digits as its factorization.

46546303345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32923 (or 32887 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 46546303345920 in words is "forty-six trillion, five hundred forty-six billion, three hundred three million, three hundred forty-five thousand, nine hundred twenty".