10146316264500 has 384 divisors, whose sum is σ = 33513918197760. Its totient is φ = 2364663974400.

The previous prime is 10146316264463. The next prime is 10146316264501. The reversal of 10146316264500 is 546261364101.

10146316264500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10146316264501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 684306087 + ... + 684320913.

It is an arithmetic number, because the mean of its divisors is an integer number (87275828640).

Almost surely, 2^{10146316264500} is an apocalyptic number.

10146316264500 is a gapful number since it is divisible by the number (10) 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 10146316264500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756959098880).

10146316264500 is an abundant number, since it is smaller than the sum of its proper divisors (23367601933260).

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

10146316264500 is a wasteful number, since it uses less digits than its factorization.

10146316264500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16728 (or 16716 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 10146316264500 in words is "ten trillion, one hundred forty-six billion, three hundred sixteen million, two hundred sixty-four thousand, five hundred".