64314145422000 has 320 divisors, whose sum is σ = 230402418480000. Its totient is φ = 17149332787200.

The previous prime is 64314145421993. The next prime is 64314145422019. The reversal of 64314145422000 is 22454141346.

64314145422000 is a `hidden beast` number, since 6 + 4 + 31 + 414 + 5 + 4 + 2 + 200 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1164050376 + ... + 1164105624.

It is an arithmetic number, because the mean of its divisors is an integer number (720007557750).

Almost surely, 2^{64314145422000} is an apocalyptic number.

64314145422000 is a gapful number since it is divisible by the number (60) 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 64314145422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115201209240000).

64314145422000 is an abundant number, since it is smaller than the sum of its proper divisors (166088273058000).

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

64314145422000 is a wasteful number, since it uses less digits than its factorization.

64314145422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76838 (or 76816 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 64314145422000 its reverse (22454141346), we get a palindrome (64336599563346).

The spelling of 64314145422000 in words is "sixty-four trillion, three hundred fourteen billion, one hundred forty-five million, four hundred twenty-two thousand".