46134648 has 96 divisors (see below), whose sum is σ = 143769600. Its totient is φ = 13091904.

The previous prime is 46134643. The next prime is 46134653. The reversal of 46134648 is 84643164.

46134648 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 4 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (46134643) and next prime (46134653).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46134643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120265 + ... + 120647.

It is an arithmetic number, because the mean of its divisors is an integer number (1497600).

Almost surely, 2^46134648 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 46134648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71884800).

46134648 is an abundant number, since it is smaller than the sum of its proper divisors (97634952).

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

46134648 is a wasteful number, since it uses less digits than its factorization.

46134648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 46134648 is about 6792.2491120394. The cubic root of 46134648 is about 358.6540481611.

It can be divided in two parts, 4613 and 4648, that added together give a cube (9261 = 21³).

The spelling of 46134648 in words is "forty-six million, one hundred thirty-four thousand, six hundred forty-eight".