748354977216 has 1344 divisors, whose sum is σ = 3016343715840. Its totient is φ = 178039296000.

The previous prime is 748354977211. The next prime is 748354977233. The reversal of 748354977216 is 612779453847.

748354977216 is a `hidden beast` number, since 7 + 4 + 8 + 3 + 549 + 7 + 72 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×748354977216² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (71124480) is a multiple of the sum of its prime divisors (1134).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748354977211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 705329326 + ... + 705330386.

It is an arithmetic number, because the mean of its divisors is an integer number (2244303360).

Almost surely, 2^748354977216 is an apocalyptic number.

748354977216 is a gapful number since it is divisible by the number (76) 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 748354977216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508171857920).

748354977216 is an abundant number, since it is smaller than the sum of its proper divisors (2267988738624).

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

748354977216 is a wasteful number, since it uses less digits than its factorization.

748354977216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1134 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 748354977216 in words is "seven hundred forty-eight billion, three hundred fifty-four million, nine hundred seventy-seven thousand, two hundred sixteen".