1603504149312 has 224 divisors, whose sum is σ = 4728859833600. Its totient is φ = 476135718912.

The previous prime is 1603504149277. The next prime is 1603504149319. The reversal of 1603504149312 is 2139414053061.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1603504149319) 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, 191596264 + ... + 191604632.

It is an arithmetic number, because the mean of its divisors is an integer number (21110981400).

Almost surely, 2^{1603504149312} is an apocalyptic number.

1603504149312 is a gapful number since it is divisible by the number (12) 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 1603504149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364429916800).

1603504149312 is an abundant number, since it is smaller than the sum of its proper divisors (3125355684288).

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

1603504149312 is a wasteful number, since it uses less digits than its factorization.

1603504149312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11073 (or 11063 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 1603504149312 in words is "one trillion, six hundred three billion, five hundred four million, one hundred forty-nine thousand, three hundred twelve".