64925146638144 has 2688 divisors, whose sum is σ = 240489505751040. Its totient is φ = 17150249926656.

The previous prime is 64925146638133. The next prime is 64925146638169. The reversal of 64925146638144 is 44183664152946.

64925146638144 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 51 + 466 + 3 + 81 + 44 = 666.

It is a super-2 number, since 2×64925146638144² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 291144155217 + ... + 291144155439.

It is an arithmetic number, because the mean of its divisors is an integer number (89467822080).

Almost surely, 2^{64925146638144} is an apocalyptic number.

64925146638144 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 64925146638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120244752875520).

64925146638144 is an abundant number, since it is smaller than the sum of its proper divisors (175564359112896).

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

64925146638144 is a wasteful number, since it uses less digits than its factorization.

64925146638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 64925146638144 in words is "sixty-four trillion, nine hundred twenty-five billion, one hundred forty-six million, six hundred thirty-eight thousand, one hundred forty-four".