10145455524864 has 880 divisors, whose sum is σ = 34188533834400. Its totient is φ = 2969740247040.

The previous prime is 10145455524859. The next prime is 10145455524949. The reversal of 10145455524864 is 46842555454101.

10145455524864 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 4 + 5 + 552 + 4 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10145455524864.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5029971984 + ... + 5029974000.

It is an arithmetic number, because the mean of its divisors is an integer number (38850606630).

Almost surely, 2^{10145455524864} 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 10145455524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094266917200).

10145455524864 is an abundant number, since it is smaller than the sum of its proper divisors (24043078309536).

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

10145455524864 is a wasteful number, since it uses less digits than its factorization.

10145455524864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

The spelling of 10145455524864 in words is "ten trillion, one hundred forty-five billion, four hundred fifty-five million, five hundred twenty-four thousand, eight hundred sixty-four".