83147000470830 has 384 divisors, whose sum is σ = 227759229734400. Its totient is φ = 21017029727232.

The previous prime is 83147000470813. The next prime is 83147000470871. The reversal of 83147000470830 is 3807400074138.

83147000470830 is a `hidden beast` number, since 8 + 3 + 147 + 0 + 0 + 0 + 470 + 8 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25142726037 + ... + 25142729343.

It is an arithmetic number, because the mean of its divisors is an integer number (593122994100).

Almost surely, 2^{83147000470830} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83147000470830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113879614867200).

83147000470830 is an abundant number, since it is smaller than the sum of its proper divisors (144612229263570).

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

83147000470830 is a wasteful number, since it uses less digits than its factorization.

83147000470830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 83147000470830 in words is "eighty-three trillion, one hundred forty-seven billion, four hundred seventy thousand, eight hundred thirty".