45262153728 has 192 divisors, whose sum is σ = 146268158400. Its totient is φ = 13715619840.

The previous prime is 45262153681. The next prime is 45262153793. The reversal of 45262153728 is 82735126254.

45262153728 is a `hidden beast` number, since 4 + 5 + 262 + 15 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 571050 + ... + 645462.

It is an arithmetic number, because the mean of its divisors is an integer number (761813325).

Almost surely, 2^45262153728 is an apocalyptic number.

45262153728 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 45262153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73134079200).

45262153728 is an abundant number, since it is smaller than the sum of its proper divisors (101006004672).

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

45262153728 is a wasteful number, since it uses less digits than its factorization.

45262153728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74455 (or 74429 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The spelling of 45262153728 in words is "forty-five billion, two hundred sixty-two million, one hundred fifty-three thousand, seven hundred twenty-eight".