1144567954656 has 384 divisors, whose sum is σ = 3877783096320. Its totient is φ = 325711134720.

The previous prime is 1144567954637. The next prime is 1144567954669. The reversal of 1144567954656 is 6564597654411.

1144567954656 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 567 + 9 + 5 + 4 + 65 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144567954593 and 1144567954602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125896671 + ... + 125905761.

It is an arithmetic number, because the mean of its divisors is an integer number (10098393480).

Almost surely, 2^{1144567954656} is an apocalyptic number.

1144567954656 is a gapful number since it is divisible by the number (16) 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 1144567954656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938891548160).

1144567954656 is an abundant number, since it is smaller than the sum of its proper divisors (2733215141664).

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

1144567954656 is an frugal number, since it uses more digits than its factorization.

1144567954656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9386 (or 9360 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 1144567954656 in words is "one trillion, one hundred forty-four billion, five hundred sixty-seven million, nine hundred fifty-four thousand, six hundred fifty-six".