1503381468000 has 288 divisors, whose sum is σ = 5231842001568. Its totient is φ = 377318400000.

The previous prime is 1503381467977. The next prime is 1503381468011. The reversal of 1503381468000 is 8641833051.

It is a self number, because there is not a number n which added to its sum of digits gives 1503381468000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3251250 + ... + 3684750.

It is an arithmetic number, because the mean of its divisors is an integer number (18166118061).

Almost surely, 2^{1503381468000} is an apocalyptic number.

1503381468000 is a gapful number since it is divisible by the number (10) 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 1503381468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615921000784).

1503381468000 is an abundant number, since it is smaller than the sum of its proper divisors (3728460533568).

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

1503381468000 is a wasteful number, since it uses less digits than its factorization.

1503381468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433563 (or 433528 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 1503381468000 in words is "one trillion, five hundred three billion, three hundred eighty-one million, four hundred sixty-eight thousand".