705194023968 has 192 divisors, whose sum is σ = 2351481995520. Its totient is φ = 201412417536.

The previous prime is 705194023939. The next prime is 705194023981. The reversal of 705194023968 is 869320491507.

705194023968 is a `hidden beast` number, since 7 + 0 + 519 + 40 + 23 + 9 + 68 = 666.

It is a super-2 number, since 2×705194023968² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18348580 + ... + 18386972.

It is an arithmetic number, because the mean of its divisors is an integer number (12247302060).

It is a 1-persistent number, because it is pandigital, but 2⋅705194023968 = 1410388047936 is not.

Almost surely, 2^705194023968 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 705194023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175740997760).

705194023968 is an abundant number, since it is smaller than the sum of its proper divisors (1646287971552).

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

705194023968 is a wasteful number, since it uses less digits than its factorization.

705194023968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41456 (or 41442 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 705194023968 in words is "seven hundred five billion, one hundred ninety-four million, twenty-three thousand, nine hundred sixty-eight".