45248947524 has 135 divisors (see below), whose sum is σ = 126247304365. Its totient is φ = 13665004320.

The previous prime is 45248947517. The next prime is 45248947537. The reversal of 45248947524 is 42574984254.

The square root of 45248947524 is 212718.

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

45248947524 is a `hidden beast` number, since 4 + 5 + 24 + 8 + 94 + 7 + 524 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42811748100 + 2437199424 = 206910^2 + 49368^2 .

It is a Duffinian number.

Its product of digits (12902400) is a multiple of the sum of its prime factors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 154433122 + ... + 154433414.

Almost surely, 2^45248947524 is an apocalyptic number.

45248947524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45248947524 is the 212718-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45248947524

45248947524 is an abundant number, since it is smaller than the sum of its proper divisors (80998356841).

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

45248947524 is an equidigital number, since it uses as much as digits as its factorization.

45248947524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 309 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 45248947524 in words is "forty-five billion, two hundred forty-eight million, nine hundred forty-seven thousand, five hundred twenty-four".