745571148521472 has 6720 divisors, whose sum is σ = 3207353583329280. Its totient is φ = 169901247430656.

The previous prime is 745571148521431. The next prime is 745571148521569. The reversal of 745571148521472 is 274125841175547.

745571148521472 is a `hidden beast` number, since 7 + 4 + 5 + 5 + 7 + 1 + 1 + 485 + 2 + 147 + 2 = 666.

It is a super-3 number, since 3×745571148521472³ (a number of 46 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5870638964673 + ... + 5870638964799.

It is an arithmetic number, because the mean of its divisors is an integer number (477284759424).

Almost surely, 2^{745571148521472} is an apocalyptic number.

745571148521472 is a gapful number since it is divisible by the number (72) 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 745571148521472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603676791664640).

745571148521472 is an abundant number, since it is smaller than the sum of its proper divisors (2461782434807808).

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

745571148521472 is a wasteful number, since it uses less digits than its factorization.

745571148521472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 231 counting only the distinct ones).

The product of its digits is 87808000, while the sum is 63.

The spelling of 745571148521472 in words is "seven hundred forty-five trillion, five hundred seventy-one billion, one hundred forty-eight million, five hundred twenty-one thousand, four hundred seventy-two".