11273957541 has 288 divisors, whose sum is σ = 23652615168. Its totient is φ = 5193745920.

The previous prime is 11273957521. The next prime is 11273957543. The reversal of 11273957541 is 14575937211.

11273957541 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 39 + 575 + 41 = 666.

It is not a de Polignac number, because 11273957541 - 2⁵ = 11273957509 is a prime.

It is a super-3 number, since 3×11273957541³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11273957543) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 168267990 + ... + 168268056.

It is an arithmetic number, because the mean of its divisors is an integer number (82127136).

Almost surely, 2^11273957541 is an apocalyptic number.

11273957541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11273957541 is an abundant number, since it is smaller than the sum of its proper divisors (12378657627).

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

11273957541 is a wasteful number, since it uses less digits than its factorization.

11273957541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The spelling of 11273957541 in words is "eleven billion, two hundred seventy-three million, nine hundred fifty-seven thousand, five hundred forty-one".