46461168 has 80 divisors (see below), whose sum is σ = 143636640. Its totient is φ = 14294016.

The previous prime is 46461133. The next prime is 46461203. The reversal of 46461168 is 86116464.

46461168 is a `hidden beast` number, since 4 + 646 + 1 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (46461133) and next prime (46461203).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1480 + ... + 9752.

It is an arithmetic number, because the mean of its divisors is an integer number (1795458).

Almost surely, 2^46461168 is an apocalyptic number.

46461168 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 46461168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71818320).

46461168 is an abundant number, since it is smaller than the sum of its proper divisors (97175472).

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

46461168 is a wasteful number, since it uses less digits than its factorization.

46461168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8291 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 46461168 is about 6816.2429534165. The cubic root of 46461168 is about 359.4981897318.

The spelling of 46461168 in words is "forty-six million, four hundred sixty-one thousand, one hundred sixty-eight".