745925713198848 has 5184 divisors, whose sum is σ = 3188672488415232. Its totient is φ = 171281775329280.

The previous prime is 745925713198801. The next prime is 745925713198859. The reversal of 745925713198848 is 848891317529547.

745925713198848 is a `hidden beast` number, since 7 + 4 + 5 + 9 + 2 + 571 + 31 + 9 + 8 + 8 + 4 + 8 = 666.

745925713198848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a super-2 number, since 2×745925713198848² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 480312757240 + ... + 480312758792.

It is an arithmetic number, because the mean of its divisors is an integer number (615098859648).

Almost surely, 2^{745925713198848} is an apocalyptic number.

745925713198848 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 745925713198848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594336244207616).

745925713198848 is an abundant number, since it is smaller than the sum of its proper divisors (2442746775216384).

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

745925713198848 is a wasteful number, since it uses less digits than its factorization.

745925713198848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1649 counting only the distinct ones).

The product of its digits is 4877107200, while the sum is 81.

The spelling of 745925713198848 in words is "seven hundred forty-five trillion, nine hundred twenty-five billion, seven hundred thirteen million, one hundred ninety-eight thousand, eight hundred forty-eight".