10145466015300 has 864 divisors, whose sum is σ = 41627105694720. Its totient is φ = 2005047475200.

The previous prime is 10145466015247. The next prime is 10145466015301. The reversal of 10145466015300 is 351066454101.

10145466015300 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 46 + 601 + 5 + 3 + 0 + 0 = 666.

10145466015300 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 (36).

It is not an unprimeable number, because it can be changed into a prime (10145466015301) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 134612227 + ... + 134687573.

It is an arithmetic number, because the mean of its divisors is an integer number (48179520480).

Almost surely, 2^{10145466015300} is an apocalyptic number.

10145466015300 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 10145466015300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20813552847360).

10145466015300 is an abundant number, since it is smaller than the sum of its proper divisors (31481639679420).

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

10145466015300 is a wasteful number, since it uses less digits than its factorization.

10145466015300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75481 (or 75471 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10145466015300 in words is "ten trillion, one hundred forty-five billion, four hundred sixty-six million, fifteen thousand, three hundred".