736448151552 has 272 divisors, whose sum is σ = 2048381782272. Its totient is φ = 235127439360.

The previous prime is 736448151533. The next prime is 736448151583. The reversal of 736448151552 is 255151844637.

It is a junction number, because it is equal to n+sod(n) for n = 736448151495 and 736448151504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487390477 + ... + 487391987.

It is an arithmetic number, because the mean of its divisors is an integer number (7530815376).

Almost surely, 2^736448151552 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 736448151552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024190891136).

736448151552 is an abundant number, since it is smaller than the sum of its proper divisors (1311933630720).

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

736448151552 is an equidigital number, since it uses as much as digits as its factorization.

736448151552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1620 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The spelling of 736448151552 in words is "seven hundred thirty-six billion, four hundred forty-eight million, one hundred fifty-one thousand, five hundred fifty-two".