2456101121761 has 6 divisors (see below), whose sum is σ = 2857097223330. Its totient is φ = 2105229532896.

The previous prime is 2456101121759. The next prime is 2456101121791. The reversal of 2456101121761 is 1671211016542.

It can be written as a sum of positive squares in only one way, i.e., 2388511521361 + 67589600400 = 1545481^2 + 259980^2 .

It is not a de Polignac number, because 2456101121761 - 2¹ = 2456101121759 is a prime.

It is a super-2 number, since 2×2456101121761² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2456101121761.

It is not an unprimeable number, because it can be changed into a prime (2456101121701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25062256296 + ... + 25062256393.

It is an arithmetic number, because the mean of its divisors is an integer number (476182870555).

Almost surely, 2^{2456101121761} is an apocalyptic number.

It is an amenable number.

2456101121761 is a deficient number, since it is larger than the sum of its proper divisors (400996101569).

2456101121761 is an equidigital number, since it uses as much as digits as its factorization.

2456101121761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50124512703 (or 50124512696 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 2456101121761 in words is "two trillion, four hundred fifty-six billion, one hundred one million, one hundred twenty-one thousand, seven hundred sixty-one".