46659738048 has 672 divisors, whose sum is σ = 163917831168. Its totient is φ = 11573452800.

The previous prime is 46659737983. The next prime is 46659738061. The reversal of 46659738048 is 84083795664.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 46659737982 and 46659738000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 257788518 + ... + 257788698.

It is an arithmetic number, because the mean of its divisors is an integer number (243925344).

Almost surely, 2^46659738048 is an apocalyptic number.

46659738048 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 46659738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81958915584).

46659738048 is an abundant number, since it is smaller than the sum of its proper divisors (117258093120).

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

46659738048 is a wasteful number, since it uses less digits than its factorization.

46659738048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 46659738048 in words is "forty-six billion, six hundred fifty-nine million, seven hundred thirty-eight thousand, forty-eight".