746181861048 has 256 divisors, whose sum is σ = 2288066457600. Its totient is φ = 223863575040.

The previous prime is 746181860993. The next prime is 746181861083. The reversal of 746181861048 is 840168181647.

746181861048 is a `hidden beast` number, since 7 + 4 + 6 + 1 + 8 + 18 + 610 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 746181860985 and 746181861003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73286518 + ... + 73296698.

It is an arithmetic number, because the mean of its divisors is an integer number (8937759600).

Almost surely, 2^746181861048 is an apocalyptic number.

746181861048 is a gapful number since it is divisible by the number (78) 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 746181861048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144033228800).

746181861048 is an abundant number, since it is smaller than the sum of its proper divisors (1541884596552).

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

746181861048 is a wasteful number, since it uses less digits than its factorization.

746181861048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10859 (or 10849 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 746181861048 in words is "seven hundred forty-six billion, one hundred eighty-one million, eight hundred sixty-one thousand, forty-eight".