61142144759080 has 192 divisors, whose sum is σ = 180328685080320. Its totient is φ = 18228713733120.

The previous prime is 61142144759063. The next prime is 61142144759153. The reversal of 61142144759080 is 8095744124116.

It is a happy number.

It is a super-2 number, since 2×61142144759080² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38452669 + ... + 40011148.

It is an arithmetic number, because the mean of its divisors is an integer number (939211901460).

Almost surely, 2^{61142144759080} is an apocalyptic number.

It is an amenable number.

61142144759080 is an abundant number, since it is smaller than the sum of its proper divisors (119186540321240).

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

61142144759080 is a wasteful number, since it uses less digits than its factorization.

61142144759080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78463880 (or 78463865 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 61142144759080 in words is "sixty-one trillion, one hundred forty-two billion, one hundred forty-four million, seven hundred fifty-nine thousand, eighty".