749116416 has 176 divisors, whose sum is σ = 2101106304. Its totient is φ = 237060096.

The previous prime is 749116387. The next prime is 749116421. The reversal of 749116416 is 614611947.

It is a super-2 number, since 2×749116416² = 1122350809441370112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7001035 + ... + 7001141.

It is an arithmetic number, because the mean of its divisors is an integer number (11938104).

Almost surely, 2^749116416 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 749116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050553152).

749116416 is an abundant number, since it is smaller than the sum of its proper divisors (1351989888).

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

749116416 is a wasteful number, since it uses less digits than its factorization.

749116416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 749116416 is about 27369.9911582010. The cubic root of 749116416 is about 908.2033609467.

The spelling of 749116416 in words is "seven hundred forty-nine million, one hundred sixteen thousand, four hundred sixteen".