856607900148 has 768 divisors, whose sum is σ = 3094036807680. Its totient is φ = 197721907200.

The previous prime is 856607900131. The next prime is 856607900149. The reversal of 856607900148 is 841009706658.

856607900148 is a `hidden beast` number, since 8 + 566 + 0 + 79 + 0 + 0 + 1 + 4 + 8 = 666.

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 = 856607900094 and 856607900103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856607900149) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 780863536 + ... + 780864632.

It is an arithmetic number, because the mean of its divisors is an integer number (4028693760).

Almost surely, 2^856607900148 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 856607900148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547018403840).

856607900148 is an abundant number, since it is smaller than the sum of its proper divisors (2237428907532).

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

856607900148 is a wasteful number, since it uses less digits than its factorization.

856607900148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 856607900148 in words is "eight hundred fifty-six billion, six hundred seven million, nine hundred thousand, one hundred forty-eight".