1141584982496 has 144 divisors (see below), whose sum is σ = 2724004588032. Its totient is φ = 469041350400.

The previous prime is 1141584982493. The next prime is 1141584982511. The reversal of 1141584982496 is 6942894851411.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141584982493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5091311 + ... + 5310801.

It is an arithmetic number, because the mean of its divisors is an integer number (18916698528).

Almost surely, 2^{1141584982496} is an apocalyptic number.

1141584982496 is a gapful number since it is divisible by the number (16) 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 1141584982496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362002294016).

1141584982496 is an abundant number, since it is smaller than the sum of its proper divisors (1582419605536).

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

1141584982496 is a wasteful number, since it uses less digits than its factorization.

1141584982496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219653 (or 219638 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 62.

The spelling of 1141584982496 in words is "one trillion, one hundred forty-one billion, five hundred eighty-four million, nine hundred eighty-two thousand, four hundred ninety-six".