746551161216 has 384 divisors, whose sum is σ = 2622727958400. Its totient is φ = 208337826816.

The previous prime is 746551161203. The next prime is 746551161217. The reversal of 746551161216 is 612161155647.

746551161216 is a `hidden beast` number, since 7 + 4 + 6 + 5 + 5 + 11 + 612 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746551161217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7230531 + ... + 7333053.

It is an arithmetic number, because the mean of its divisors is an integer number (6830020725).

Almost surely, 2^746551161216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746551161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311363979200).

746551161216 is an abundant number, since it is smaller than the sum of its proper divisors (1876176797184).

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

746551161216 is a wasteful number, since it uses less digits than its factorization.

746551161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102603 (or 102578 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 746551161216 in words is "seven hundred forty-six billion, five hundred fifty-one million, one hundred sixty-one thousand, two hundred sixteen".