2146511450376 has 256 divisors, whose sum is σ = 6098379840000. Its totient is φ = 699418976256.

The previous prime is 2146511450353. The next prime is 2146511450383. The reversal of 2146511450376 is 6730541156412.

It is a happy number.

2146511450376 is a `hidden beast` number, since 2 + 1 + 4 + 65 + 1 + 14 + 503 + 76 = 666.

It is a super-2 number, since 2×2146511450376² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1057914930 + ... + 1057916958.

It is an arithmetic number, because the mean of its divisors is an integer number (23821796250).

Almost surely, 2^{2146511450376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146511450376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049189920000).

2146511450376 is an abundant number, since it is smaller than the sum of its proper divisors (3951868389624).

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

2146511450376 is a wasteful number, since it uses less digits than its factorization.

2146511450376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2146511450376 in words is "two trillion, one hundred forty-six billion, five hundred eleven million, four hundred fifty thousand, three hundred seventy-six".