1151443206144 has 952 divisors, whose sum is σ = 4318447616832. Its totient is φ = 298120642560.

The previous prime is 1151443206131. The next prime is 1151443206169. The reversal of 1151443206144 is 4416023441511.

1151443206144 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 4 + 4 + 32 + 0 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1151443206099 and 1151443206108.

It is a congruent number.

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, 3678732132 + ... + 3678732444.

Almost surely, 2^{1151443206144} is an apocalyptic number.

1151443206144 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 1151443206144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159223808416).

1151443206144 is an abundant number, since it is smaller than the sum of its proper divisors (3167004410688).

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

1151443206144 is an frugal number, since it uses more digits than its factorization.

1151443206144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1151443206144 its reverse (4416023441511), we get a palindrome (5567466647655).

The spelling of 1151443206144 in words is "one trillion, one hundred fifty-one billion, four hundred forty-three million, two hundred six thousand, one hundred forty-four".