2148913152000 has 1536 divisors, whose sum is σ = 8573966069760. Its totient is φ = 535088332800.

The previous prime is 2148913151981. The next prime is 2148913152019. The reversal of 2148913152000 is 2513198412.

2148913152000 is a `hidden beast` number, since 2 + 1 + 48 + 91 + 3 + 1 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2148913151981) and next prime (2148913152019).

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16920575937 + ... + 16920576063.

It is an arithmetic number, because the mean of its divisors is an integer number (5582009160).

Almost surely, 2^{2148913152000} is an apocalyptic number.

2148913152000 is a gapful number since it is divisible by the number (20) 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 2148913152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286983034880).

2148913152000 is an abundant number, since it is smaller than the sum of its proper divisors (6425052917760).

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

2148913152000 is an frugal number, since it uses more digits than its factorization.

2148913152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2148913152000 in words is "two trillion, one hundred forty-eight billion, nine hundred thirteen million, one hundred fifty-two thousand".