2148093561600 has 3024 divisors, whose sum is σ = 9963013701312. Its totient is φ = 447180963840.

The previous prime is 2148093561563. The next prime is 2148093561659. The reversal of 2148093561600 is 61653908412.

2148093561600 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 0 + 9 + 35 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×2148093561600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 29425939164 + ... + 29425939236.

It is an arithmetic number, because the mean of its divisors is an integer number (3294647388).

Almost surely, 2^{2148093561600} is an apocalyptic number.

2148093561600 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 2148093561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981506850656).

2148093561600 is an abundant number, since it is smaller than the sum of its proper divisors (7814920139712).

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

2148093561600 is an equidigital number, since it uses as much as digits as its factorization.

2148093561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2148093561600 in words is "two trillion, one hundred forty-eight billion, ninety-three million, five hundred sixty-one thousand, six hundred".