64345442541120 has 784 divisors, whose sum is σ = 252664626170880. Its totient is φ = 15501846417408.

The previous prime is 64345442541119. The next prime is 64345442541131. The reversal of 64345442541120 is 2114524454346.

64345442541120 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 54 + 42 + 541 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 142308361 + ... + 142759799.

Almost surely, 2^{64345442541120} is an apocalyptic number.

64345442541120 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 64345442541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126332313085440).

64345442541120 is an abundant number, since it is smaller than the sum of its proper divisors (188319183629760).

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

64345442541120 is a wasteful number, since it uses less digits than its factorization.

64345442541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451534 (or 451509 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

Adding to 64345442541120 its reverse (2114524454346), we get a palindrome (66459966995466).

The spelling of 64345442541120 in words is "sixty-four trillion, three hundred forty-five billion, four hundred forty-two million, five hundred forty-one thousand, one hundred twenty".