46898267328 has 448 divisors, whose sum is σ = 156911040000. Its totient is φ = 13605580800.

The previous prime is 46898267309. The next prime is 46898267347. The reversal of 46898267328 is 82376289864.

46898267328 is a `hidden beast` number, since 46 + 8 + 9 + 8 + 267 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (46898267309) and next prime (46898267347).

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 63 ways as a sum of consecutive naturals, for example, 82133283 + ... + 82133853.

Almost surely, 2^46898267328 is an apocalyptic number.

46898267328 is a gapful number since it is divisible by the number (48) 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 46898267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78455520000).

46898267328 is an abundant number, since it is smaller than the sum of its proper divisors (110012772672).

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

46898267328 is a wasteful number, since it uses less digits than its factorization.

46898267328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 765 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 46898267328 in words is "forty-six billion, eight hundred ninety-eight million, two hundred sixty-seven thousand, three hundred twenty-eight".