46122648 has 128 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 12672000.

The previous prime is 46122647. The next prime is 46122653. The reversal of 46122648 is 84622164.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 (46122647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305373 + ... + 305523.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^46122648 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 46122648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

46122648 is an abundant number, since it is smaller than the sum of its proper divisors (91771752).

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

46122648 is a wasteful number, since it uses less digits than its factorization.

46122648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 46122648 is about 6791.3656947627. The cubic root of 46122648 is about 358.6229491790.

It can be divided in two parts, 4612 and 2648, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 46122648 in words is "forty-six million, one hundred twenty-two thousand, six hundred forty-eight".