1761145251144 has 16 divisors (see below), whose sum is σ = 4402863127920. Its totient is φ = 587048417040.

The previous prime is 1761145251133. The next prime is 1761145251161. The reversal of 1761145251144 is 4411525411671.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1761145251096 and 1761145251105.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36690526042 + ... + 36690526089.

It is an arithmetic number, because the mean of its divisors is an integer number (275178945495).

Almost surely, 2^{1761145251144} is an apocalyptic number.

It is an amenable number.

1761145251144 is an abundant number, since it is smaller than the sum of its proper divisors (2641717876776).

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

1761145251144 is a wasteful number, since it uses less digits than its factorization.

1761145251144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73381052140 (or 73381052136 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

It can be divided in two parts, 17611452 and 51144, that added together give a triangular number (17662596 = T₅₉₄₃).

The spelling of 1761145251144 in words is "one trillion, seven hundred sixty-one billion, one hundred forty-five million, two hundred fifty-one thousand, one hundred forty-four".