1164171460608 has 720 divisors, whose sum is σ = 3815173479936. Its totient is φ = 352584990720.

The previous prime is 1164171460607. The next prime is 1164171460631. The reversal of 1164171460608 is 8060641714611.

1164171460608 is a `hidden beast` number, since 1 + 1 + 64 + 1 + 71 + 460 + 60 + 8 = 666.

It is a super-3 number, since 3×1164171460608³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1164171460607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4295835513 + ... + 4295835783.

Almost surely, 2^{1164171460608} is an apocalyptic number.

1164171460608 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 1164171460608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907586739968).

1164171460608 is an abundant number, since it is smaller than the sum of its proper divisors (2651002019328).

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

1164171460608 is an frugal number, since it uses more digits than its factorization.

1164171460608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1164171460608 in words is "one trillion, one hundred sixty-four billion, one hundred seventy-one million, four hundred sixty thousand, six hundred eight".