61144493760 has 448 divisors, whose sum is σ = 247634150400. Its totient is φ = 13912694784.

The previous prime is 61144493749. The next prime is 61144493783. The reversal of 61144493760 is 6739444116.

61144493760 is a `hidden beast` number, since 6 + 114 + 449 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14089671 + ... + 14094009.

It is an arithmetic number, because the mean of its divisors is an integer number (552754800).

Almost surely, 2^61144493760 is an apocalyptic number.

61144493760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61144493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123817075200).

61144493760 is an abundant number, since it is smaller than the sum of its proper divisors (186489656640).

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

61144493760 is a wasteful number, since it uses less digits than its factorization.

61144493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 61144493760 in words is "sixty-one billion, one hundred forty-four million, four hundred ninety-three thousand, seven hundred sixty".