2145154626641 has 64 divisors (see below), whose sum is σ = 2535384317760. Its totient is φ = 1803244584960.

The previous prime is 2145154626631. The next prime is 2145154626677. The reversal of 2145154626641 is 1466264515412.

It can be written as a sum of positive squares in 32 ways, for example, as 695047353025 + 1450107273616 = 833695^2 + 1204204^2 .

It is not a de Polignac number, because 2145154626641 - 2²⁶ = 2145087517777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2145154626631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247104821 + ... + 247113501.

It is an arithmetic number, because the mean of its divisors is an integer number (39615379965).

Almost surely, 2^{2145154626641} is an apocalyptic number.

It is an amenable number.

2145154626641 is a deficient number, since it is larger than the sum of its proper divisors (390229691119).

2145154626641 is an equidigital number, since it uses as much as digits as its factorization.

2145154626641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8871 (or 8837 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 47.

The spelling of 2145154626641 in words is "two trillion, one hundred forty-five billion, one hundred fifty-four million, six hundred twenty-six thousand, six hundred forty-one".