46531763553000 has 512 divisors, whose sum is σ = 168025831833600. Its totient is φ = 10602555264000.

The previous prime is 46531763552999. The next prime is 46531763553007. The reversal of 46531763553000 is 35536713564.

It is not an unprimeable number, because it can be changed into a prime (46531763553007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 79336822 + ... + 79921178.

It is an arithmetic number, because the mean of its divisors is an integer number (328175452800).

Almost surely, 2^{46531763553000} is an apocalyptic number.

46531763553000 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 46531763553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84012915916800).

46531763553000 is an abundant number, since it is smaller than the sum of its proper divisors (121494068280600).

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

46531763553000 is a wasteful number, since it uses less digits than its factorization.

46531763553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584538 (or 584524 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 48.

The spelling of 46531763553000 in words is "forty-six trillion, five hundred thirty-one billion, seven hundred sixty-three million, five hundred fifty-three thousand".