1168466153400 has 768 divisors, whose sum is σ = 5214249600000. Its totient is φ = 233556203520.

The previous prime is 1168466153377. The next prime is 1168466153401. The reversal of 1168466153400 is 43516648611.

1168466153400 is a `hidden beast` number, since 1 + 16 + 8 + 46 + 61 + 534 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168466153401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9274026 + ... + 9399174.

It is an arithmetic number, because the mean of its divisors is an integer number (6789387500).

Almost surely, 2^{1168466153400} is an apocalyptic number.

1168466153400 is a gapful number since it is divisible by the number (10) 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 1168466153400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607124800000).

1168466153400 is an abundant number, since it is smaller than the sum of its proper divisors (4045783446600).

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

1168466153400 is a wasteful number, since it uses less digits than its factorization.

1168466153400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125213 (or 125198 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1168466153400 in words is "one trillion, one hundred sixty-eight billion, four hundred sixty-six million, one hundred fifty-three thousand, four hundred".