10019345808384 has 880 divisors, whose sum is σ = 33309772062336. Its totient is φ = 2974371840000.

The previous prime is 10019345808319. The next prime is 10019345808389. The reversal of 10019345808384 is 48380854391001.

10019345808384 is a `hidden beast` number, since 10 + 0 + 19 + 3 + 4 + 580 + 8 + 38 + 4 = 666.

It is a super-3 number, since 3×10019345808384³ (a number of 40 digits) contains 333 as substring.

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 10019345808384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10019345808389) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15343561402 + ... + 15343562054.

Almost surely, 2^{10019345808384} 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 10019345808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16654886031168).

10019345808384 is an abundant number, since it is smaller than the sum of its proper divisors (23290426253952).

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

10019345808384 is a wasteful number, since it uses less digits than its factorization.

10019345808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 10019345808384 in words is "ten trillion, nineteen billion, three hundred forty-five million, eight hundred eight thousand, three hundred eighty-four".