61141758490944 has 42 divisors (see below), whose sum is σ = 175251811231770. Its totient is φ = 20380586163456.

The previous prime is 61141758490919. The next prime is 61141758490963. The reversal of 61141758490944 is 44909485714116.

61141758490944 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 1 + 7 + 58 + 490 + 94 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39241604833344 + 21900153657600 = 6264312^2 + 4679760^2 .

It is a super-2 number, since 2×61141758490944² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53074442559 + ... + 53074443710.

It is an arithmetic number, because the mean of its divisors is an integer number (4172662172185).

Almost surely, 2^{61141758490944} is an apocalyptic number.

61141758490944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61141758490944 is an abundant number, since it is smaller than the sum of its proper divisors (114110052740826).

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

61141758490944 is a wasteful number, since it uses less digits than its factorization.

61141758490944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106148886287 (or 106148886274 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 61141758490944 in words is "sixty-one trillion, one hundred forty-one billion, seven hundred fifty-eight million, four hundred ninety thousand, nine hundred forty-four".