46551098880 has 960 divisors, whose sum is σ = 193037644800. Its totient is φ = 10218700800.

The previous prime is 46551098857. The next prime is 46551098887. The reversal of 46551098880 is 8889015564.

It is a happy number.

46551098880 is a `hidden beast` number, since 4 + 6 + 551 + 0 + 9 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46551098887) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233925021 + ... + 233925219.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 2^46551098880 is an apocalyptic number.

46551098880 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 46551098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96518822400).

46551098880 is an abundant number, since it is smaller than the sum of its proper divisors (146486545920).

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

46551098880 is a wasteful number, since it uses less digits than its factorization.

46551098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 46551098880 in words is "forty-six billion, five hundred fifty-one million, ninety-eight thousand, eight hundred eighty".