2150046714816 has 2688 divisors, whose sum is σ = 9120556247040. Its totient is φ = 487710720000.

The previous prime is 2150046714799. The next prime is 2150046714833. The reversal of 2150046714816 is 6184176400512.

2150046714816 is a `hidden beast` number, since 2 + 1 + 500 + 4 + 67 + 1 + 4 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2150046714799) and next prime (2150046714833).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 30282348061 + ... + 30282348131.

It is an arithmetic number, because the mean of its divisors is an integer number (3393064080).

Almost surely, 2^{2150046714816} is an apocalyptic number.

2150046714816 is a gapful number since it is divisible by the number (26) 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 2150046714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560278123520).

2150046714816 is an abundant number, since it is smaller than the sum of its proper divisors (6970509532224).

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

2150046714816 is a wasteful number, since it uses less digits than its factorization.

2150046714816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2150046714816 in words is "two trillion, one hundred fifty billion, forty-six million, seven hundred fourteen thousand, eight hundred sixteen".