1141833679272 has 384 divisors, whose sum is σ = 3912055056000. Its totient is φ = 295508459520.

The previous prime is 1141833679267. The next prime is 1141833679277. The reversal of 1141833679272 is 2729763381411.

1141833679272 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 8 + 3 + 367 + 9 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (1141833679267) and next prime (1141833679277).

It is a super-2 number, since 2×1141833679272² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1141833679277) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10271604 + ... + 10382172.

It is an arithmetic number, because the mean of its divisors is an integer number (10187643375).

Almost surely, 2^{1141833679272} is an apocalyptic number.

1141833679272 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 1141833679272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956027528000).

1141833679272 is an abundant number, since it is smaller than the sum of its proper divisors (2770221376728).

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

1141833679272 is a wasteful number, since it uses less digits than its factorization.

1141833679272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110681 (or 110674 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 1141833679272 in words is "one trillion, one hundred forty-one billion, eight hundred thirty-three million, six hundred seventy-nine thousand, two hundred seventy-two".