2148586398000 has 1200 divisors, whose sum is σ = 9200070738144. Its totient is φ = 481744972800.

The previous prime is 2148586397981. The next prime is 2148586398037. The reversal of 2148586398000 is 8936858412.

2148586398000 is a `hidden beast` number, since 2 + 1 + 485 + 86 + 3 + 9 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×2148586398000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 420711447 + ... + 420716553.

Almost surely, 2^{2148586398000} is an apocalyptic number.

2148586398000 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 2148586398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600035369072).

2148586398000 is an abundant number, since it is smaller than the sum of its proper divisors (7051484340144).

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

2148586398000 is a wasteful number, since it uses less digits than its factorization.

2148586398000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2148586398000 in words is "two trillion, one hundred forty-eight billion, five hundred eighty-six million, three hundred ninety-eight thousand".