46512648 has 192 divisors, whose sum is σ = 160742400. Its totient is φ = 11819520.

The previous prime is 46512643. The next prime is 46512659. The reversal of 46512648 is 84621564.

46512648 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46512643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202998 + ... + 203226.

It is an arithmetic number, because the mean of its divisors is an integer number (837200).

Almost surely, 2^46512648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46512648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80371200).

46512648 is an abundant number, since it is smaller than the sum of its proper divisors (114229752).

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

46512648 is a wasteful number, since it uses less digits than its factorization.

46512648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 285 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 46512648 is about 6820.0181817939. The cubic root of 46512648 is about 359.6309180326.

The spelling of 46512648 in words is "forty-six million, five hundred twelve thousand, six hundred forty-eight".