64145743331520 has 224 divisors, whose sum is σ = 212525677836288. Its totient is φ = 16361193705472.

The previous prime is 64145743331507. The next prime is 64145743331533. The reversal of 64145743331520 is 2513334754146.

It is an interprime number because it is at equal distance from previous prime (64145743331507) and next prime (64145743331533).

It is a super-2 number, since 2×64145743331520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64145743331520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 976057702 + ... + 976123418.

Almost surely, 2^{64145743331520} is an apocalyptic number.

64145743331520 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 64145743331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106262838918144).

64145743331520 is an abundant number, since it is smaller than the sum of its proper divisors (148379934504768).

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

64145743331520 is a wasteful number, since it uses less digits than its factorization.

64145743331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109967 (or 109957 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 64145743331520 in words is "sixty-four trillion, one hundred forty-five billion, seven hundred forty-three million, three hundred thirty-one thousand, five hundred twenty".