61344042401125 has 32 divisors (see below), whose sum is σ = 85554128499840. Its totient is φ = 43525706320000.

The previous prime is 61344042401093. The next prime is 61344042401171. The reversal of 61344042401125 is 52110424044316.

It is not a de Polignac number, because 61344042401125 - 2⁵ = 61344042401093 is a prime.

It is a super-2 number, since 2×61344042401125² (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 31 ways as a sum of consecutive naturals, for example, 544014955 + ... + 544127704.

It is an arithmetic number, because the mean of its divisors is an integer number (2673566515620).

Almost surely, 2^{61344042401125} is an apocalyptic number.

It is an amenable number.

61344042401125 is a deficient number, since it is larger than the sum of its proper divisors (24210086098715).

61344042401125 is a wasteful number, since it uses less digits than its factorization.

61344042401125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088142726 (or 1088142716 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 61344042401125 in words is "sixty-one trillion, three hundred forty-four billion, forty-two million, four hundred one thousand, one hundred twenty-five".