11261492141472 has 192 divisors, whose sum is σ = 33548899023360. Its totient is φ = 3673520750592.

The previous prime is 11261492141447. The next prime is 11261492141477. The reversal of 11261492141472 is 27414129416211.

11261492141472 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 492 + 14 + 147 + 2 = 666.

It is a super-2 number, since 2×11261492141472² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11261492141477) 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, 675424528 + ... + 675441200.

It is an arithmetic number, because the mean of its divisors is an integer number (174733849080).

Almost surely, 2^{11261492141472} is an apocalyptic number.

11261492141472 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 11261492141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16774449511680).

11261492141472 is an abundant number, since it is smaller than the sum of its proper divisors (22287406881888).

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

11261492141472 is a wasteful number, since it uses less digits than its factorization.

11261492141472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33372 (or 33358 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 11261492141472 in words is "eleven trillion, two hundred sixty-one billion, four hundred ninety-two million, one hundred forty-one thousand, four hundred seventy-two".