64475149063248 has 1920 divisors, whose sum is σ = 252694466519040. Its totient is φ = 15419143618560.

The previous prime is 64475149063243. The next prime is 64475149063319. The reversal of 64475149063248 is 84236094157446.

64475149063248 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 514 + 90 + 6 + 3 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64475149063243) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24712589368 + ... + 24712591976.

It is an arithmetic number, because the mean of its divisors is an integer number (131611701312).

It is a 1-persistent number, because it is pandigital, but 2⋅64475149063248 = 128950298126496 is not.

Almost surely, 2^{64475149063248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64475149063248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126347233259520).

64475149063248 is an abundant number, since it is smaller than the sum of its proper divisors (188219317455792).

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

64475149063248 is a wasteful number, since it uses less digits than its factorization.

64475149063248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2807 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 64475149063248 in words is "sixty-four trillion, four hundred seventy-five billion, one hundred forty-nine million, sixty-three thousand, two hundred forty-eight".