1144919470464 has 1536 divisors, whose sum is σ = 4507794201600. Its totient is φ = 280010649600.

The previous prime is 1144919470459. The next prime is 1144919470517. The reversal of 1144919470464 is 4640749194411.

1144919470464 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 91 + 94 + 7 + 0 + 464 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1144919470464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30943769454 + ... + 30943769490.

It is an arithmetic number, because the mean of its divisors is an integer number (2934761850).

Almost surely, 2^{1144919470464} is an apocalyptic number.

1144919470464 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 1144919470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253897100800).

1144919470464 is an abundant number, since it is smaller than the sum of its proper divisors (3362874731136).

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

1144919470464 is an equidigital number, since it uses as much as digits as its factorization.

1144919470464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1144919470464 in words is "one trillion, one hundred forty-four billion, nine hundred nineteen million, four hundred seventy thousand, four hundred sixty-four".