2137446447312 has 160 divisors (see below), whose sum is σ = 6133647600000. Its totient is φ = 641296128000.

The previous prime is 2137446447299. The next prime is 2137446447319.

It is a happy number.

2137446447312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137446447319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6287064 + ... + 6618312.

It is an arithmetic number, because the mean of its divisors is an integer number (38335297500).

Almost surely, 2^{2137446447312} is an apocalyptic number.

2137446447312 is a gapful number since it is divisible by the number (22) 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 2137446447312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066823800000).

2137446447312 is an abundant number, since it is smaller than the sum of its proper divisors (3996201152688).

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

2137446447312 is a wasteful number, since it uses less digits than its factorization.

2137446447312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331394 (or 331366 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 48.

The spelling of 2137446447312 in words is "two trillion, one hundred thirty-seven billion, four hundred forty-six million, four hundred forty-seven thousand, three hundred twelve".