46121544 has 144 divisors (see below), whose sum is σ = 154053900. Its totient is φ = 12386304.

The previous prime is 46121533. The next prime is 46121567. The reversal of 46121544 is 44512164.

46121544 is a `hidden beast` number, since 4 + 612 + 1 + 5 + 44 = 666.

46121544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45724644 + 396900 = 6762^2 + 630^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59592 + ... + 60360.

Almost surely, 2^46121544 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 46121544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77026950).

46121544 is an abundant number, since it is smaller than the sum of its proper divisors (107932356).

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

46121544 is a wasteful number, since it uses less digits than its factorization.

46121544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 798 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 46121544 is about 6791.2844146008. The cubic root of 46121544 is about 358.6200878016.

It can be divided in two parts, 46121 and 544, that added together give a triangular number (46665 = T₃₀₅).

The spelling of 46121544 in words is "forty-six million, one hundred twenty-one thousand, five hundred forty-four".