64142181504 has 160 divisors (see below), whose sum is σ = 192779201340. Its totient is φ = 21168691200.

The previous prime is 64142181487. The next prime is 64142181511. The reversal of 64142181504 is 40518124146.

64142181504 is a `hidden beast` number, since 6 + 4 + 142 + 1 + 8 + 1 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63831011904 + 311169600 = 252648^2 + 17640^2 .

It is a super-2 number, since 2×64142181504² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1016542 + ... + 1077794.

Almost surely, 2^64142181504 is an apocalyptic number.

64142181504 is a gapful number since it is divisible by the number (64) 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 64142181504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96389600670).

64142181504 is an abundant number, since it is smaller than the sum of its proper divisors (128637019836).

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

64142181504 is a wasteful number, since it uses less digits than its factorization.

64142181504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61380 (or 61359 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 64142181504 in words is "sixty-four billion, one hundred forty-two million, one hundred eighty-one thousand, five hundred four".