10146819024 has 160 divisors (see below), whose sum is σ = 30336986880. Its totient is φ = 3244147200.

The previous prime is 10146818959. The next prime is 10146819029. The reversal of 10146819024 is 42091864101.

10146819024 is a `hidden beast` number, since 1 + 0 + 1 + 468 + 190 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10146819024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146819029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130394 + ... + 1139334.

It is an arithmetic number, because the mean of its divisors is an integer number (189606168).

Almost surely, 2^10146819024 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 10146819024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15168493440).

10146819024 is an abundant number, since it is smaller than the sum of its proper divisors (20190167856).

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

10146819024 is a wasteful number, since it uses less digits than its factorization.

10146819024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10146819024 in words is "ten billion, one hundred forty-six million, eight hundred nineteen thousand, twenty-four".