1164816906624 has 256 divisors, whose sum is σ = 3940104960000. Its totient is φ = 331859607552.

The previous prime is 1164816906623. The next prime is 1164816906661. The reversal of 1164816906624 is 4266096184611.

1164816906624 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 8 + 1 + 6 + 9 + 0 + 6 + 624 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164816906623) 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, 8471577 + ... + 8607975.

It is an arithmetic number, because the mean of its divisors is an integer number (15391035000).

Almost surely, 2^{1164816906624} is an apocalyptic number.

1164816906624 is a gapful number since it is divisible by the number (14) 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 1164816906624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970052480000).

1164816906624 is an abundant number, since it is smaller than the sum of its proper divisors (2775288053376).

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

1164816906624 is a wasteful number, since it uses less digits than its factorization.

1164816906624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136782 (or 136764 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1164816906624 in words is "one trillion, one hundred sixty-four billion, eight hundred sixteen million, nine hundred six thousand, six hundred twenty-four".