733749854464 has 243 divisors, whose sum is σ = 1674156434013. Its totient is φ = 320708044800.

The previous prime is 733749854441. The next prime is 733749854473. The reversal of 733749854464 is 464458947337.

It is a happy number.

The square root of 733749854464 is 856592.

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., 215073337600 + 518676516864 = 463760^2 + 720192^2 .

It is a super-3 number, since 3×733749854464³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 733749854396 and 733749854405.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4673565874 + ... + 4673566030.

Almost surely, 2^733749854464 is an apocalyptic number.

733749854464 is the 856592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 733749854464

733749854464 is an abundant number, since it is smaller than the sum of its proper divisors (940406579549).

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

733749854464 is an equidigital number, since it uses as much as digits as its factorization.

733749854464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 201 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 64.

Multiplying 733749854464 by its sum of digits (64), we get a square (46959990685696 = 6852736²).

733749854464 divided by its sum of digits (64) gives a square (11464841476 = 107074²).

The spelling of 733749854464 in words is "seven hundred thirty-three billion, seven hundred forty-nine million, eight hundred fifty-four thousand, four hundred sixty-four".