1131217490304 has 768 divisors, whose sum is σ = 3903323074560. Its totient is φ = 310453862400.

The previous prime is 1131217490297. The next prime is 1131217490323. The reversal of 1131217490304 is 4030947121311.

It is a happy number.

1131217490304 is a `hidden beast` number, since 1 + 13 + 121 + 7 + 490 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1556007189 + ... + 1556007915.

It is an arithmetic number, because the mean of its divisors is an integer number (5082451920).

Almost surely, 2^{1131217490304} 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 1131217490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951661537280).

1131217490304 is an abundant number, since it is smaller than the sum of its proper divisors (2772105584256).

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

1131217490304 is a wasteful number, since it uses less digits than its factorization.

1131217490304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1131217490304 in words is "one trillion, one hundred thirty-one billion, two hundred seventeen million, four hundred ninety thousand, three hundred four".