1146177381888 has 800 divisors, whose sum is σ = 4295242372608. Its totient is φ = 295612416000.

The previous prime is 1146177381887. The next prime is 1146177381953. The reversal of 1146177381888 is 8881837716411.

1146177381888 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 177 + 381 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146177381887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 482193756 + ... + 482196132.

Almost surely, 2^{1146177381888} is an apocalyptic number.

1146177381888 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 1146177381888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147621186304).

1146177381888 is an abundant number, since it is smaller than the sum of its proper divisors (3149064990720).

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

1146177381888 is a wasteful number, since it uses less digits than its factorization.

1146177381888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576 (or 2551 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 63.

The spelling of 1146177381888 in words is "one trillion, one hundred forty-six billion, one hundred seventy-seven million, three hundred eighty-one thousand, eight hundred eighty-eight".