1162746144 has 384 divisors, whose sum is σ = 4215214080. Its totient is φ = 304238592.

The previous prime is 1162746131. The next prime is 1162746149. The reversal of 1162746144 is 4416472611.

It is a happy number.

1162746144 is a `hidden beast` number, since 1 + 16 + 27 + 4 + 614 + 4 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1162746099 and 1162746108.

It is not an unprimeable number, because it can be changed into a prime (1162746149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4420957 + ... + 4421219.

It is an arithmetic number, because the mean of its divisors is an integer number (10977120).

Almost surely, 2^1162746144 is an apocalyptic number.

1162746144 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 1162746144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107607040).

1162746144 is an abundant number, since it is smaller than the sum of its proper divisors (3052467936).

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

1162746144 is a wasteful number, since it uses less digits than its factorization.

1162746144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1162746144 is about 34099.0636821600. The cubic root of 1162746144 is about 1051.5460652467.

The spelling of 1162746144 in words is "one billion, one hundred sixty-two million, seven hundred forty-six thousand, one hundred forty-four".