1596393949248 has 1008 divisors, whose sum is σ = 5893278007680. Its totient is φ = 421713008640.

The previous prime is 1596393949247. The next prime is 1596393949303. The reversal of 1596393949248 is 8429493936951.

1596393949248 is a `hidden beast` number, since 1 + 5 + 9 + 6 + 3 + 93 + 9 + 492 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1596393949247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1871504790 + ... + 1871505642.

It is an arithmetic number, because the mean of its divisors is an integer number (5846505960).

Almost surely, 2^{1596393949248} is an apocalyptic number.

1596393949248 is a gapful number since it is divisible by the number (18) 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 1596393949248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946639003840).

1596393949248 is an abundant number, since it is smaller than the sum of its proper divisors (4296884058432).

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

1596393949248 is a wasteful number, since it uses less digits than its factorization.

1596393949248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 919 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 72.

The spelling of 1596393949248 in words is "one trillion, five hundred ninety-six billion, three hundred ninety-three million, nine hundred forty-nine thousand, two hundred forty-eight".