2148562376064 has 384 divisors, whose sum is σ = 6891788467200. Its totient is φ = 638030131200.

The previous prime is 2148562376053. The next prime is 2148562376069. The reversal of 2148562376064 is 4606732658412.

2148562376064 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 5 + 6 + 23 + 7 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2148562376064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148562376069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175946919 + ... + 175959129.

It is an arithmetic number, because the mean of its divisors is an integer number (17947365800).

Almost surely, 2^{2148562376064} is an apocalyptic number.

2148562376064 is a gapful number since it is divisible by the number (24) 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 2148562376064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445894233600).

2148562376064 is an abundant number, since it is smaller than the sum of its proper divisors (4743226091136).

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

2148562376064 is a wasteful number, since it uses less digits than its factorization.

2148562376064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12654 (or 12639 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2148562376064 in words is "two trillion, one hundred forty-eight billion, five hundred sixty-two million, three hundred seventy-six thousand, sixty-four".