10148195813184 has 1680 divisors, whose sum is σ = 37349052389376. Its totient is φ = 2706085324800.

The previous prime is 10148195813081. The next prime is 10148195813191. The reversal of 10148195813184 is 48131859184101.

10148195813184 is a `hidden beast` number, since 1 + 0 + 1 + 48 + 1 + 9 + 581 + 3 + 18 + 4 = 666.

10148195813184 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10148195813184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 151465609119 + ... + 151465609185.

Almost surely, 2^{10148195813184} 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 10148195813184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18674526194688).

10148195813184 is an abundant number, since it is smaller than the sum of its proper divisors (27200856576192).

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

10148195813184 is an frugal number, since it uses more digits than its factorization.

10148195813184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 10148195813184 in words is "ten trillion, one hundred forty-eight billion, one hundred ninety-five million, eight hundred thirteen thousand, one hundred eighty-four".