46889497728 has 384 divisors, whose sum is σ = 146024424000. Its totient is φ = 14958784512.

The previous prime is 46889497723. The next prime is 46889497729. The reversal of 46889497728 is 82779498864.

46889497728 is a `hidden beast` number, since 4 + 68 + 8 + 9 + 497 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (46889497723) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 204757518 + ... + 204757746.

Almost surely, 2^46889497728 is an apocalyptic number.

46889497728 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 46889497728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73012212000).

46889497728 is an abundant number, since it is smaller than the sum of its proper divisors (99134926272).

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

46889497728 is a wasteful number, since it uses less digits than its factorization.

46889497728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 46889497728 in words is "forty-six billion, eight hundred eighty-nine million, four hundred ninety-seven thousand, seven hundred twenty-eight".