681004957248 has 1008 divisors, whose sum is σ = 2591950705344. Its totient is φ = 175297167360.

The previous prime is 681004957201. The next prime is 681004957289. The reversal of 681004957248 is 842759400186.

It is a happy number.

681004957248 is a `hidden beast` number, since 6 + 8 + 100 + 495 + 7 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 681004957194 and 681004957203.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1148406040 + ... + 1148406632.

It is an arithmetic number, because the mean of its divisors is an integer number (2571379668).

Almost surely, 2^681004957248 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 681004957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295975352672).

681004957248 is an abundant number, since it is smaller than the sum of its proper divisors (1910945748096).

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

681004957248 is a wasteful number, since it uses less digits than its factorization.

681004957248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 681004957248 in words is "six hundred eighty-one billion, four million, nine hundred fifty-seven thousand, two hundred forty-eight".