2137887916416 has 768 divisors, whose sum is σ = 7386630451200. Its totient is φ = 580714168320.

The previous prime is 2137887916403. The next prime is 2137887916471. The reversal of 2137887916416 is 6146197887312.

2137887916416 is a `hidden beast` number, since 2 + 137 + 8 + 8 + 79 + 16 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6830312676 + ... + 6830312988.

It is an arithmetic number, because the mean of its divisors is an integer number (9618008400).

Almost surely, 2^{2137887916416} 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 2137887916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693315225600).

2137887916416 is an abundant number, since it is smaller than the sum of its proper divisors (5248742534784).

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

2137887916416 is a wasteful number, since it uses less digits than its factorization.

2137887916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 752 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 2137887916416 in words is "two trillion, one hundred thirty-seven billion, eight hundred eighty-seven million, nine hundred sixteen thousand, four hundred sixteen".