1572864606144 has 224 divisors, whose sum is σ = 4981176809280. Its totient is φ = 483806822400.

The previous prime is 1572864606139. The next prime is 1572864606149. The reversal of 1572864606144 is 4416064682751.

1572864606144 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 86 + 460 + 61 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1572864606139) and next prime (1572864606149).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1572864606149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87173764 + ... + 87191804.

It is an arithmetic number, because the mean of its divisors is an integer number (22237396470).

Almost surely, 2^{1572864606144} 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 1572864606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490588404640).

1572864606144 is an abundant number, since it is smaller than the sum of its proper divisors (3408312203136).

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

1572864606144 is a wasteful number, since it uses less digits than its factorization.

1572864606144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21956 (or 21940 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 1572864606144 in words is "one trillion, five hundred seventy-two billion, eight hundred sixty-four million, six hundred six thousand, one hundred forty-four".