733256540416 has 81 divisors (see below), whose sum is σ = 1480214641773. Its totient is φ = 362524861440.

The previous prime is 733256540371. The next prime is 733256540431. The reversal of 733256540416 is 614045652337.

It is a happy number.

The square root of 733256540416 is 856304.

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

It can be written as a sum of positive squares in only one way, i.e., 511076290816 + 222180249600 = 714896^2 + 471360^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 1493393931 + ... + 1493394421.

Almost surely, 2^733256540416 is an apocalyptic number.

733256540416 is the 856304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 733256540416

733256540416 is an abundant number, since it is smaller than the sum of its proper divisors (746958101357).

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

733256540416 is an frugal number, since it uses more digits than its factorization.

733256540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 46.

The spelling of 733256540416 in words is "seven hundred thirty-three billion, two hundred fifty-six million, five hundred forty thousand, four hundred sixteen".