2137746477312 has 72 divisors (see below), whose sum is σ = 6321692438880. Its totient is φ = 712582156800.

The previous prime is 2137746477281. The next prime is 2137746477313.

2137746477312 is a `hidden beast` number, since 2 + 13 + 77 + 464 + 77 + 31 + 2 = 666.

2137746477312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2137746477313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154633314 + ... + 154647137.

Almost surely, 2^{2137746477312} is an apocalyptic number.

It is an amenable number.

2137746477312 is an abundant number, since it is smaller than the sum of its proper divisors (4183945961568).

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

2137746477312 is an equidigital number, since it uses as much as digits as its factorization.

2137746477312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309280476 (or 309280456 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 54.

The spelling of 2137746477312 in words is "two trillion, one hundred thirty-seven billion, seven hundred forty-six million, four hundred seventy-seven thousand, three hundred twelve".