46888490880 has 768 divisors, whose sum is σ = 204844723200. Its totient is φ = 9599385600.

The previous prime is 46888490849. The next prime is 46888490927. The reversal of 46888490880 is 8809488864.

It is a happy number.

46888490880 is a `hidden beast` number, since 4 + 68 + 8 + 8 + 490 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31489176 + ... + 31490664.

It is an arithmetic number, because the mean of its divisors is an integer number (266724900).

Almost surely, 2^46888490880 is an apocalyptic number.

46888490880 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 46888490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102422361600).

46888490880 is an abundant number, since it is smaller than the sum of its proper divisors (157956232320).

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

46888490880 is a wasteful number, since it uses less digits than its factorization.

46888490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 46888490880 in words is "forty-six billion, eight hundred eighty-eight million, four hundred ninety thousand, eight hundred eighty".