10019145636864 has 1056 divisors, whose sum is σ = 37685375461440. Its totient is φ = 2605880180736.

The previous prime is 10019145636827. The next prime is 10019145636919. The reversal of 10019145636864 is 46863654191001.

10019145636864 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 14 + 563 + 6 + 8 + 64 = 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 10019145636864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285655752 + ... + 1285663544.

Almost surely, 2^{10019145636864} is an apocalyptic number.

10019145636864 is a gapful number since it is divisible by the number (14) 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 10019145636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842687730720).

10019145636864 is an abundant number, since it is smaller than the sum of its proper divisors (27666229824576).

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

10019145636864 is a wasteful number, since it uses less digits than its factorization.

10019145636864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 10019145636864 in words is "ten trillion, nineteen billion, one hundred forty-five million, six hundred thirty-six thousand, eight hundred sixty-four".