2145101954688 has 1536 divisors, whose sum is σ = 8389127577600. Its totient is φ = 537439795200.

The previous prime is 2145101954647. The next prime is 2145101954689. The reversal of 2145101954688 is 8864591015412.

2145101954688 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 1 + 0 + 19 + 546 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2145101954689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6987302631 + ... + 6987302937.

It is an arithmetic number, because the mean of its divisors is an integer number (5461671600).

Almost surely, 2^{2145101954688} is an apocalyptic number.

2145101954688 is a gapful number since it is divisible by the number (28) 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 2145101954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194563788800).

2145101954688 is an abundant number, since it is smaller than the sum of its proper divisors (6244025622912).

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

2145101954688 is a wasteful number, since it uses less digits than its factorization.

2145101954688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 2145101954688 in words is "two trillion, one hundred forty-five billion, one hundred one million, nine hundred fifty-four thousand, six hundred eighty-eight".