745658918160 has 160 divisors (see below), whose sum is σ = 2491411789440. Its totient is φ = 183395057664.

The previous prime is 745658918129. The next prime is 745658918167. The reversal of 745658918160 is 61819856547.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 745658918094 and 745658918103.

It is not an unprimeable number, because it can be changed into a prime (745658918167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3698851 + ... + 3895229.

It is an arithmetic number, because the mean of its divisors is an integer number (15571323684).

Almost surely, 2^745658918160 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 745658918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245705894720).

745658918160 is an abundant number, since it is smaller than the sum of its proper divisors (1745752871280).

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

745658918160 is a wasteful number, since it uses less digits than its factorization.

745658918160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197625 (or 197619 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 745658918160 in words is "seven hundred forty-five billion, six hundred fifty-eight million, nine hundred eighteen thousand, one hundred sixty".