11625219272481 has 64 divisors (see below), whose sum is σ = 16781500809216. Its totient is φ = 7131846758400.

The previous prime is 11625219272477. The next prime is 11625219272507. The reversal of 11625219272481 is 18427291252611.

It is a happy number.

It is not a de Polignac number, because 11625219272481 - 2² = 11625219272477 is a prime.

It is a super-2 number, since 2×11625219272481² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (11625219272431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 788838345 + ... + 788853081.

It is an arithmetic number, because the mean of its divisors is an integer number (262210950144).

Almost surely, 2^{11625219272481} is an apocalyptic number.

It is an amenable number.

11625219272481 is a deficient number, since it is larger than the sum of its proper divisors (5156281536735).

11625219272481 is a wasteful number, since it uses less digits than its factorization.

11625219272481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16622.

The product of its digits is 967680, while the sum is 51.

The spelling of 11625219272481 in words is "eleven trillion, six hundred twenty-five billion, two hundred nineteen million, two hundred seventy-two thousand, four hundred eighty-one".