45619833744 has 225 divisors, whose sum is σ = 140663839107. Its totient is φ = 14271095808.

The previous prime is 45619833737. The next prime is 45619833757. The reversal of 45619833744 is 44733891654.

The square root of 45619833744 is 213588.

It is a perfect power (a square), and thus also a powerful number.

45619833744 is a `hidden beast` number, since 4 + 561 + 9 + 8 + 3 + 3 + 74 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12016544400 + 33603289344 = 109620^2 + 183312^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 130715682 + ... + 130716030.

Almost surely, 2^45619833744 is an apocalyptic number.

45619833744 is the 213588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45619833744

45619833744 is an abundant number, since it is smaller than the sum of its proper divisors (95044005363).

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

45619833744 is an equidigital number, since it uses as much as digits as its factorization.

45619833744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 371 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 45619833744 in words is "forty-five billion, six hundred nineteen million, eight hundred thirty-three thousand, seven hundred forty-four".