746445164112 has 120 divisors (see below), whose sum is σ = 2103830469000. Its totient is φ = 247051090944.

The previous prime is 746445164111. The next prime is 746445164117. The reversal of 746445164112 is 211461544647.

746445164112 is a `hidden beast` number, since 7 + 46 + 44 + 516 + 41 + 12 = 666.

746445164112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13613288976 + 732831875136 = 116676^2 + 856056^2 .

It is a super-2 number, since 2×746445164112² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746445164111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77515714 + ... + 77525342.

It is an arithmetic number, because the mean of its divisors is an integer number (17531920575).

Almost surely, 2^746445164112 is an apocalyptic number.

746445164112 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 746445164112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051915234500).

746445164112 is an abundant number, since it is smaller than the sum of its proper divisors (1357385304888).

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

746445164112 is a wasteful number, since it uses less digits than its factorization.

746445164112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13405 (or 13396 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 746445164112 in words is "seven hundred forty-six billion, four hundred forty-five million, one hundred sixty-four thousand, one hundred twelve".