681498171648 has 1152 divisors, whose sum is σ = 2561311872000. Its totient is φ = 177916870656.

The previous prime is 681498171593. The next prime is 681498171661. The reversal of 681498171648 is 846171894186.

681498171648 is a `hidden beast` number, since 6 + 81 + 498 + 1 + 7 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1491243036 + ... + 1491243492.

It is an arithmetic number, because the mean of its divisors is an integer number (2223361000).

Almost surely, 2^681498171648 is an apocalyptic number.

681498171648 is a gapful number since it is divisible by the number (68) 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 681498171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280655936000).

681498171648 is an abundant number, since it is smaller than the sum of its proper divisors (1879813700352).

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

681498171648 is a wasteful number, since it uses less digits than its factorization.

681498171648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 523 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 681498171648 in words is "six hundred eighty-one billion, four hundred ninety-eight million, one hundred seventy-one thousand, six hundred forty-eight".