738733395456 has 1200 divisors, whose sum is σ = 2758469495760. Its totient is φ = 196185120768.

The previous prime is 738733395431. The next prime is 738733395479. The reversal of 738733395456 is 654593337837.

738733395456 is a `hidden beast` number, since 7 + 3 + 87 + 3 + 3 + 3 + 9 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (171460800) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 738733395393 and 738733395402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13938365926 + ... + 13938365978.

Almost surely, 2^738733395456 is an apocalyptic number.

738733395456 is a gapful number since it is divisible by the number (76) 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 738733395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379234747880).

738733395456 is an abundant number, since it is smaller than the sum of its proper divisors (2019736100304).

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

738733395456 is an frugal number, since it uses more digits than its factorization.

738733395456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 84 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 738733395456 in words is "seven hundred thirty-eight billion, seven hundred thirty-three million, three hundred ninety-five thousand, four hundred fifty-six".