61946406144 has 108 divisors (see below), whose sum is σ = 204122065056. Its totient is φ = 17698968576.

The previous prime is 61946406107. The next prime is 61946406149. The reversal of 61946406144 is 44160464916.

61946406144 is a `hidden beast` number, since 61 + 9 + 46 + 406 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61946406144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61946406149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1904334 + ... + 1936589.

Almost surely, 2^61946406144 is an apocalyptic number.

61946406144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61946406144 is an abundant number, since it is smaller than the sum of its proper divisors (142175658912).

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

61946406144 is a wasteful number, since it uses less digits than its factorization.

61946406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840952 (or 3840935 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 61946406144 in words is "sixty-one billion, nine hundred forty-six million, four hundred six thousand, one hundred forty-four".