2146513668480 has 512 divisors, whose sum is σ = 7824673612800. Its totient is φ = 555897323520.

The previous prime is 2146513668461. The next prime is 2146513668539. The reversal of 2146513668480 is 848663156412.

2146513668480 is a `hidden beast` number, since 2 + 1 + 46 + 513 + 6 + 6 + 8 + 4 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82187904 + ... + 82214016.

It is an arithmetic number, because the mean of its divisors is an integer number (15282565650).

Almost surely, 2^{2146513668480} is an apocalyptic number.

2146513668480 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 2146513668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912336806400).

2146513668480 is an abundant number, since it is smaller than the sum of its proper divisors (5678159944320).

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

2146513668480 is a wasteful number, since it uses less digits than its factorization.

2146513668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26279 (or 26261 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 2146513668480 in words is "two trillion, one hundred forty-six billion, five hundred thirteen million, six hundred sixty-eight thousand, four hundred eighty".