64116002405 has 48 divisors (see below), whose sum is σ = 97340174064. Its totient is φ = 40181299200.

The previous prime is 64116002399. The next prime is 64116002407. The reversal of 64116002405 is 50420061146.

It can be written as a sum of positive squares in 8 ways, for example, as 1094418724 + 63021583681 = 33082^2 + 251041^2 .

It is not a de Polignac number, because 64116002405 - 2⁸ = 64116002149 is a prime.

It is a super-2 number, since 2×64116002405² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64116002407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222029 + ... + 421341.

It is an arithmetic number, because the mean of its divisors is an integer number (2027920293).

Almost surely, 2^64116002405 is an apocalyptic number.

64116002405 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64116002405 is a deficient number, since it is larger than the sum of its proper divisors (33224171659).

64116002405 is a wasteful number, since it uses less digits than its factorization.

64116002405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199446 (or 199439 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 64116002405 in words is "sixty-four billion, one hundred sixteen million, two thousand, four hundred five".