746130333312 has 384 divisors, whose sum is σ = 2645512571520. Its totient is φ = 196560691200.

The previous prime is 746130333293. The next prime is 746130333341. The reversal of 746130333312 is 213333031647.

746130333312 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 3 + 0 + 333 + 312 = 666.

746130333312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107029987 + ... + 107036957.

It is an arithmetic number, because the mean of its divisors is an integer number (6889355655).

Almost surely, 2^746130333312 is an apocalyptic number.

746130333312 is a gapful number since it is divisible by the number (72) 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 746130333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322756285760).

746130333312 is an abundant number, since it is smaller than the sum of its proper divisors (1899382238208).

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

746130333312 is a wasteful number, since it uses less digits than its factorization.

746130333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8032 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

Adding to 746130333312 its reverse (213333031647), we get a palindrome (959463364959).

The spelling of 746130333312 in words is "seven hundred forty-six billion, one hundred thirty million, three hundred thirty-three thousand, three hundred twelve".