1214052750144 has 448 divisors, whose sum is σ = 4024259769600. Its totient is φ = 356312162304.

The previous prime is 1214052750091. The next prime is 1214052750179. The reversal of 1214052750144 is 4410572504121.

1214052750144 is a `hidden beast` number, since 1 + 2 + 1 + 40 + 527 + 50 + 1 + 44 = 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 = 1214052750099 and 1214052750108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54059622 + ... + 54082074.

It is an arithmetic number, because the mean of its divisors is an integer number (8982722700).

Almost surely, 2^{1214052750144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214052750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012129884800).

1214052750144 is an abundant number, since it is smaller than the sum of its proper divisors (2810207019456).

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

1214052750144 is a wasteful number, since it uses less digits than its factorization.

1214052750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22599 (or 22583 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 1214052750144 in words is "one trillion, two hundred fourteen billion, fifty-two million, seven hundred fifty thousand, one hundred forty-four".