745428448512 has 432 divisors, whose sum is σ = 2537249315328. Its totient is φ = 216061655040.

The previous prime is 745428448481. The next prime is 745428448547. The reversal of 745428448512 is 215844824547.

745428448512 is a `hidden beast` number, since 7 + 4 + 5 + 4 + 2 + 84 + 48 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15714943 + ... + 15762305.

It is an arithmetic number, because the mean of its divisors is an integer number (5873262304).

Almost surely, 2^745428448512 is an apocalyptic number.

745428448512 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 745428448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268624657664).

745428448512 is an abundant number, since it is smaller than the sum of its proper divisors (1791820866816).

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

745428448512 is a wasteful number, since it uses less digits than its factorization.

745428448512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47428 (or 47402 counting only the distinct ones).

The product of its digits is 11468800, while the sum is 54.

The spelling of 745428448512 in words is "seven hundred forty-five billion, four hundred twenty-eight million, four hundred forty-eight thousand, five hundred twelve".