681627290112 has 60 divisors (see below), whose sum is σ = 1967222524410. Its totient is φ = 227209095168.

The previous prime is 681627290107. The next prime is 681627290153. The reversal of 681627290112 is 211092726186.

681627290112 is a `hidden beast` number, since 6 + 8 + 1 + 627 + 2 + 9 + 0 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359021465856 + 322605824256 = 599184^2 + 567984^2 .

It is a super-2 number, since 2×681627290112² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73956687 + ... + 73965902.

Almost surely, 2^681627290112 is an apocalyptic number.

It is an amenable number.

681627290112 is an abundant number, since it is smaller than the sum of its proper divisors (1285595234298).

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

681627290112 is a wasteful number, since it uses less digits than its factorization.

681627290112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147922613 (or 147922594 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

It can be divided in two parts, 6816272 and 90112, that added together give a square (6906384 = 2628²).

The spelling of 681627290112 in words is "six hundred eighty-one billion, six hundred twenty-seven million, two hundred ninety thousand, one hundred twelve".