1230753927168 has 728 divisors, whose sum is σ = 3896600568120. Its totient is φ = 387939041280.

The previous prime is 1230753927131. The next prime is 1230753927181. The reversal of 1230753927168 is 8617293570321.

1230753927168 is a `hidden beast` number, since 1 + 2 + 30 + 7 + 539 + 2 + 71 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3869835264 + 1226884091904 = 62208^2 + 1107648^2 .

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 55 ways as a sum of consecutive naturals, for example, 5282205580 + ... + 5282205812.

Almost surely, 2^{1230753927168} is an apocalyptic number.

1230753927168 is a gapful number since it is divisible by the number (18) 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 1230753927168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948300284060).

1230753927168 is an abundant number, since it is smaller than the sum of its proper divisors (2665846640952).

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

1230753927168 is an frugal number, since it uses more digits than its factorization.

1230753927168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1230753927168 in words is "one trillion, two hundred thirty billion, seven hundred fifty-three million, nine hundred twenty-seven thousand, one hundred sixty-eight".