812125034688 has 448 divisors, whose sum is σ = 2516475617280. Its totient is φ = 228427776000.

The previous prime is 812125034681. The next prime is 812125034717. The reversal of 812125034688 is 886430521218.

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

It is not an unprimeable number, because it can be changed into a prime (812125034681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883704693 + ... + 883705611.

Almost surely, 2^812125034688 is an apocalyptic number.

812125034688 is a gapful number since it is divisible by the number (88) 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 812125034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258237808640).

812125034688 is an abundant number, since it is smaller than the sum of its proper divisors (1704350582592).

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

812125034688 is a wasteful number, since it uses less digits than its factorization.

812125034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 812125034688 in words is "eight hundred twelve billion, one hundred twenty-five million, thirty-four thousand, six hundred eighty-eight".