64114265848464 has 320 divisors, whose sum is σ = 215348572364800. Its totient is φ = 18086301043200.

The previous prime is 64114265848447. The next prime is 64114265848481. The reversal of 64114265848464 is 46484856241146.

64114265848464 is a `hidden beast` number, since 6 + 4 + 1 + 1 + 4 + 2 + 6 + 584 + 8 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (64114265848447) and next prime (64114265848481).

It is a super-2 number, since 2×64114265848464² (a number of 28 digits) contains 22 as substring.

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, 6383482 + ... + 12999129.

It is an arithmetic number, because the mean of its divisors is an integer number (672964288640).

Almost surely, 2^{64114265848464} is an apocalyptic number.

It is an amenable number.

64114265848464 is an abundant number, since it is smaller than the sum of its proper divisors (151234306516336).

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

64114265848464 is a wasteful number, since it uses less digits than its factorization.

64114265848464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19382691 (or 19382679 counting only the distinct ones).

The product of its digits is 141557760, while the sum is 63.

The spelling of 64114265848464 in words is "sixty-four trillion, one hundred fourteen billion, two hundred sixty-five million, eight hundred forty-eight thousand, four hundred sixty-four".